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Lesson 43 Least Common Multiple – Least Common Multiples of Algebraic Expressions

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## Lesson 43 Least Common Multiple – Least Common Multiples of Algebraic Expressions

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**Lesson 43 Least Common Multiple – Least Common Multiples**of Algebraic Expressions The LEAST COMMON MULTIPLE is the smallest number that can be evenly divided by each of a group of numbers. To find the LEAST COMMON MULTIPLE (LCM): 1. Write each number as a product of prime factors. 2. Compute the LCM by using every factor of the given numbers as a factor of the LCM. Use each factor the greatest number of times it is a factor in any of the numbers**Examples**Ex. 43.1 Find the LCM of 8, 15, 100. The prime factors of 8 are 2 x 2 x 2 The `prime factors of 15 are 3 x 5 The prime factors of 100 are 2 x 2 x 5 x 5 The number 2 is a factor. It will appear 3 times in the LCM. The number 3 is a factor. It will appear 1 time in the LCM. The number 5 is a factor. It will appear 2 times in the LCM. The LCM is: 2 x 2 x 2 x 3 x5 x 5 = 600**Lesson 43 Continued**Ex 43.2 Find the LCM of 30, 75, and 80. Ex 43.3 Find the LCM of 560, 588, and 1250.**LCM Of Algebraic Expressions**Ex 43.4 Find the LCM of 15a2b and 10ab3. 15a2b = 3 x 5 x a x a x b 10ab3 = 2 x 5x a x b x b x b Ex 43.5 Find the LCM of 4x2m and 6x3m. Ex 43.6 Find the LCM of 12x2m2 and 14x3am4. On Line Tutorial