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Q: When you have variables and your trying to find the LCM what would you do?

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You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.

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4(x-1)2(x2+6x+8) and 10(x-1)(x+2)(X2+7x+10)

GCF = 9To find the LCM, find the prime factorization of each number9y = 3 * 3 * y18x = 2 * 3 * 3 * xLCM = 2 * 3 * 3 * x * y = 18xy

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Example: 3x4y2 and 9x3y5 Treat the whole numbers normally. The LCM of 3 and 9 is 9. Choose the highest value of the variables. In this case, the LCM is 9x4y5

Example: 3x4y2 and 9x3y5 Treat the whole numbers normally. The LCM of 3 and 9 is 9. Choose the highest value of the variables. In this case, the LCM is 9x4y5

The LCM will contain all factors including variables. Look at coefficients and find their LCM. Then IF several terms have a common factor with a differnt exponent, use that variable with the largest exponent. If a variable appears in only one term, it will still be part of the LCM with its exponent. EX Find LCM for 14s3 and 6 ---- ANSWER --- 42s3 Ex Find Lcm for 3x2y , 4y3, and 7x --- The LCM is 84x2y3 biggest exponents even if not in all terms.

Example: 3x4y2 and 9x3y5 Treat the whole numbers normally. The LCM of 3 and 9 is 9. Choose the highest value of the variables. In this case, the LCM is 9x4y5

Do the numbers first. The LCM of 6 and 8 is 24. Choose the higher of the variables. The LCM of 6a3 and 8a is 24a3

If I was trying to find a least common multiple, I would use multiplication.

Most times the question will specify "find the HCF" or "find the LCM." If you're trying to find common denominators, that's an LCM problem. If you're trying to reduce fractions, that's an HCF problem.

The GCF is useful when you are trying to reduce fractions. The LCM is useful when you are trying to add and subtract unlike fractions.

The GCF is useful when you are trying to reduce fractions. The LCM is useful when you are trying to add and subtract unlike fractions.

Do the numerical factors (coefficients) first. For the GCF of the variables, choose the lowest power of each. For the LCM of the variables, choose the highest power of each. Example 6x2y3z4 and 9x3y4z2 The GCF is 3x2y3z2 The LCM is 18x3y4z4

Since variables can be any number, the LCM possibilities are infinite.

1 can only be an LCM (least common multiple) if the numbers you're trying to find an LCM for are 1 and 1. LCM cannot be smaller than the largest of the numbers you're using.

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