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What is the greatest common multiple of 16 and 24?
There is no greatest common multiple. Ever! If x were the greatest common multiple, then what about 2x? Since x is a multiple of 16 and 24 then so also is 2x, so that 2x is a COMMON multiple. And it would certainly be greater that x. So 2x is a common multiple that is greater than the greatest common multiple. What?!
What is the gcm of 6 and 8?
If GCM stands for Greatest Common Multiple, there is no such number. This is because if x is claimed as the GCM then 2x is a common multiple of both 6 and 8 and 2x > x.
What is the least common multiple of 2 and x and 7x?
Least common multiple = 7x X 2 = 14x
What is the greatest common multiple of 48 and 30?
There can never be a greatest common multiple. If a number, X, is claimed as the greatest common multiple, the 2X is a common multiple, and it is greater than X which contradicts X being the greatest.
What is the greatest common multiple for 15 and 35?
There can be no greatest common multiple. If x were the greatest common multiple, then 2x would be a still greater common multiple. So x could not be the greatest. Thus there is no such thing as a greatest common multiple.
What is the LCM of x and 2x when x is a nonzero whole number?
The Least Common Multiple (LCM) of x and 2x is the smallest multiple that is divisible by both x and 2x. Since 2x is a multiple of x, the LCM is simply 2x. This is because any multiple of x will also be a multiple of 2x, making 2x the smallest common multiple of x and 2x.
What is the least common multiple of x and x plus 2?
x2 + 2x
What is the greatest common multiple of 16 and 24?
There is no greatest common multiple. Ever! If x were the greatest common multiple, then what about 2x? Since x is a multiple of 16 and 24 then so also is 2x, so that 2x is a COMMON multiple. And it would certainly be greater that x. So 2x is a common multiple that is greater than the greatest common multiple. What?!
What is the gcm of 6 and 8?
If GCM stands for Greatest Common Multiple, there is no such number. This is because if x is claimed as the GCM then 2x is a common multiple of both 6 and 8 and 2x > x.
What are the gcm of 625 and 500?
There can be no greatest common multiple. For, if x were the greatest common multiple, then 2x would be (a) a common multiple and (b) greater than x. So x could not have been the greatest common multiple.
What is the least common multiple of 2 and x and 7x?
Least common multiple = 7x X 2 = 14x
What is the greatest common multiple of 48 and 30?
There can never be a greatest common multiple. If a number, X, is claimed as the greatest common multiple, the 2X is a common multiple, and it is greater than X which contradicts X being the greatest.
What is the least common multiple for x2-x and 8x-4?
The two numbers are x2 - x and 8x - 4. The least common multiple is the product of the numbers divided by their greatest common factor. For this example, I will assume that x is a positive integer > 1, since otherwise x2-x = 0, and the least common multiple would then be 0. So, the next step is to determine the greatest common factor. To do that, factor each of the numbers. These numbers can be rewritten as x(x-1) and 4(2x-1). The factors of x2 - x are x and x-1. The factors of 8x - 4 are 2, 2, and 2x-1. Neither x nor x-1 evenly divide 2x-1. However, either x or x-1 is even, which means one of them is divisible by 2. Since 2 is a factor of 8x-4, the greatest common factor is at least 2, but since we do not know the value of x, the greatest common factor might be 4. So, the least common multiple is either (x2-x)(8x-4)/2 = (8x3-12x2-4x)/2 = 4x3-6x2-2x or (x2-x)(8x-4)/4 = (8x3-12x2-4x)/4 = 2x3-3x2-x.
What is the least common multiple of x and 3x?
'3x' is a multiple of 'x', so it's a common multiple of both of them.
How do you find the least common multiple of two prime numbers x and y?
The least common multiple of two primes x and y, is x * y.
What is the largest multiple of 3 and 7?
There is no such number. Since if x were the largest multiple of 3 and 7 then what about 2x? 2x would be a multiple of 3 since x is a multiple of 3; 2x would be a multiple of 7 since x is a multiple of 7; and 2x is bigger than x. So x cannot be the largest.
What is the least common multiple of 2000 and 5000?
The least common multiple would be 2000 x 5000 ÷ their GCF. Their greatest common factor (GCF) is 1000, so the least common multiple (LCM) is 2000 x 5000 ÷ 1000 = 10,000
