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What it the LCM of two numbers whose sum is 40 and whose difference is 10?
If the numbers are x and y then x + y = 40 x - y = 10 so x = 25, y = 15 Then LCM(x, y) = LCM(25, 15) = 75
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 LCM for 8x 18xy?
To find the least common multiple (LCM) of 8x and 18xy, we need to identify the highest power of each prime factor that appears in either number. The prime factors of 8x are 2 and x, while the prime factors of 18xy are 2, 3, x, and y. The LCM is the product of the highest power of each prime factor: 2^3 * 3^1 * x^1 * y^1 = 24xy. Therefore, the LCM for 8x and 18xy is 24xy.
What is the greatest common factor of two numbers 525 and 1155 is 105 find their LCM?
For any two numbers, X and Y, LCM(X, Y) = X*Y/HCF(X, Y) So, LCM(525, 1155) = 525*1155/105 = 5775
What is the LCM of 35 and 70?
The LCM or least common multiple is the smallest multiple that both numbers share. 35 x 1 = 35 35 x 2 = 70 70 x 1 = 70 The LCM of 35 and 70 is 70.
