what is a common multiple of two or more denominators?
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(LCD) The least, or smallest, number that is a multiple of all the denominators in a group of fractions. least common multiple. (LCM) The least, or smallest, number that is a multiple of two or more numbers.
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For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
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Lowest common denominator. ... In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the lowest common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.
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To find the least common multiple, LCM, of any two (or more) numbers, we simply factor each of them into the product of primes. Then, the LCM of the two (or more) numbers is the product of as many of those prime factors as are needed to reproduce each of the original numbers.
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The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple ( LCM ) and Least Common Divisor ( LCD) . ... For example, LCM(2,3) = 6 and LCM(6,10) = 30. The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.
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It's easy to add and subtract like fractions, or fractions with the same denominator. You just add or subtract the numerators and keep the same denominator. The tricky part comes when you add or subtract fractions that have different denominators. To do this, you need to know how to find the least common denominator.
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A common fraction is in simplest form when the greatest common factor of the numerator and the denominator is 1. To express in simplest form, think: What is the greatest common factor (GCF) of 6 and 8? The answer is 2.
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For the two fractions 4/5 and 5/6, the least common denominator is 30. The fraction 4/5 is equivalent to 24/30 (To get this I multiplied both the numerator and denominator by 6). The fraction 5/6 is equivalent to 25/30 (To get this I multiplied both the numerator and denominator by 5).
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['Fractions with the same denominators can be added (or subtracted) by adding (or subtracting) the numerators .', 'If two fractions do not have the same denominator, then find a common denominator by making equivalent fractions .', 'This is the final answer as the fraction cannot be simplified .']
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Multiples of 6 are: 6, 12, 18, 24, 30, 36, etc. Multiples of 8 are: 8, 16, 24, 32, 40, etc. The LCM for 6 and 8 = 24 because this is the first multiple they have in common.
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The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.
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['Things to remember:', 'Step 1: Find a common multiple of the denominators.', 'HINT: The easiest way to do this is multiply the denominators together.', 'Step 2: Multiply the fractions so that the denominators the same.', 'Step 3: Add or subtract the new fractions.', 'Step 4: See if you can simplify.']
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The least common multiple (LCM) of two integers is the smallest positive integer that is a multiple of both. The greatest common divisor (GCD) of two integers is the largest positive integer dividing both. The product of the two numbers is the product of the LCM and the GCD.
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Least Common Multiple (LCM) Definition The term common multiple refers to a number that is a multiple of a set of at least two numbers. For example, the number 12 is a common multiple of 2 and 3 since it can be evenly divided by both numbers with no remainder.
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['Find the smallest multiple (LCM) of both numbers.', 'Rewrite the fractions as equivalent fractions with the LCM as the denominator.']
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LCM stands for Least Common Multiple. A multiple is a number you get when you multiply a number by a whole number (greater than 0). A factor is one of the numbers that multiplies by a whole number to get that number. example: the multiples of 8 are 8, 16, 24, 32, 40, 48, 56... the factors of 8 are 1, 2, 4, 8.
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A multiple of a number is that number multiplied by an integer. Multiples of numbers are introduced in the multiplication tables. The LCM or least common multiple can be found for two or more numbers.