localocs1408 localocs1408
  • 03-11-2019
  • Mathematics
contestada

What is the least common multiple for 20,8,9

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celinafan
celinafan celinafan
  • 03-11-2019
The LCM is 2^3*5*9=360
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stevenslusser
stevenslusser stevenslusser
  • 03-11-2019

Answer:

The least common multiple is 360.

Step-by-step explanation:

The prime factorization of 8 is 2 × 2 × 2 = 2³

The prime factorization of 9 is 3 × 3 = 3²

The prime factorization of 20 is 2 × 2 × 5 = 2² × 5¹

For each prime factor (i.e., 2, 3, and 5), find where it occurs most often and write that value in a new list:

2³ × 3² × 5¹ = 2 × 2 × 2 × 3 × 3 × 5 = 360

Answer Link

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