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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.
What is the LCM of x and y if y is the multiple of x?
x
What is the LCM of 48 and 96?
LCM of x and y is y if y is a multiple of x. 96 is a multiple of 48, so LCM(48,96) = 96.
If x is multiple of y the lcm of x and y is?
X,
Which two numbers will have a greater greatest common factor than the least common multiple?
There cannot be any such numbers. Suppose you have the numbers X and Y, and without loss of generality, assume that X ≤ Y. Then GCF(X, Y) is a factor of X and of Y. Therefore, GCF ≤ X which is ≤ Y also LCM(X, Y) is a multiple of X and of Y. Therefore, LCM ≥ Y which is ≥ X Combining the inequalities gives GCF ≤ X ≤ Y ≤ LCM and so GCF ≤ LCM. That is, the GCF cannot possibly be greater than LCM.
What is the least common multiple of 50 and 80?
If x is the multiple of y then LCM of x and y is x. Here, 80 is the multiple of 10 therefore LCM of 10 & 80 is 80.
What is the least common multiple of 16 and 72?
The least common multiple (LCM) is often also called the lowest common multiple or smallest common multiple. Keep in mind that these different terms all refer to the same thing: the smallest positive integer which is a multiple of two or more numbers.The least common multiple of 4 and 42 is 84.
What is the what is the LCM of Y Y and Y?
It is: x times y or as xy
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.
How do you find the LCM and GCF of two prime numbers?
The GCF of any two prime numbers is 1 and the LCM is their product.
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.
Can you find the least common multiple of two prime numbers?
Yes. For two prime numbers, the LCM is their product: one times the other. Multiply the two. (e.g. LCM of 5 and 7 is 35) By formula, the LCM for x and y is LCM = x * y / GCF and for primes, the GCF (greatest common factor) is 1.
