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LCM of 27 & 5 = 27 x 5 = 135.
LCM of a Prime number and a composite number is equal to their product if the composite number is not a multiple of the prime number.
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What the LCM of 14 and 48?
For any two numbers a and b if a is divisible by b then LCM(a,b) is a.48 is divisible by 6, so LCM(48,6) is 48.
What is the highest common multiple of B and C?
The greatest common multiple of any set of integers is infinite.
What are the common multiples of four and seven?
28, 56, 84 you can always find a common multiple of two numbers by multiplying them (but that won't always be the least common multiple)... the other common multiples can b found by multiplying that number with any other positive integer... for example, if you have two numbers (a and b), then one of their common multiples is a x b (but not always the smallest one), and the others are 2 x a x b, or any other positive integer times a x b
What is the least common multiple of 24 and 9?
Find the greatest common divisor(Using the Euclidean Algorythm)24 = 9*2 + 69 = 6*1 + 36 = 3*2gcd (24,9) = 3least common multiple = (a*b)/gcd(a,b)LCM = 216/3 = 72
How can factors help with finding a common denominator?
There is no such thing as a greatest common denominator. For example, the LEAST common denominator of 3 and 4 is 12, but any multiple of 12 will also be a common denominator. For very small numbers, the fastest way to find the LEAST common denominator (or least common multiple) is to try out multiples of the larger number. For example, to get the least common multiple of 6 and 4: 6 is not a multiple of 4, but the next multiple of 6 (6 x 2 = 12) is, so that's the least common multiple. For numbers of intermediate size, you may want to use prime factorization. That's the method common taught in schools. To repeat with the numbers above: 6 = 3 x 2; 4 = 2 x 2. Gathering all the prime factors, and using duplicates (those that appear in both numbers) only once (or using the highest power that appears in any of the numbers, you get 2 x 2 x 3 = 12. For fairly large numbers, use Euclid's algorithm to find the greatest common factor first. In this case, 6 divided by 4 gives a remainder of 2, and 4 divide by 2 gives a remainder of 0. The last non-zero number in this sequence of divisions is 2, so that's the greatest common factor. Once you have the greatest common factor, use the property that a x b = lcm(a, b) x gcf(a, b). In other words, the least common multiple is equal to a x b / gcf(a, b), in this example, 6 x 4 / 2 = 12.
