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Popular Pre Algebra >

Find the LCM 30 , 42

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Solution

lcm

Solution

210
Solution steps
30,42
Prime factorization of 30:2⋅3⋅5
30
30divides by 230=15⋅2=2⋅15
15divides by 315=5⋅3=2⋅3⋅5
2,3,5 are all prime numbers, therefore no further factorization is possible=2⋅3⋅5
Prime factorization of 42:2⋅3⋅7
42
42divides by 242=21⋅2=2⋅21
21divides by 321=7⋅3=2⋅3⋅7
2,3,7 are all prime numbers, therefore no further factorization is possible=2⋅3⋅7
Multiply each factor the greatest number of times it occurs in either 30 or 42=2⋅3⋅5⋅7
Multiply the numbers: 2⋅3⋅5⋅7=210=210

Popular Examples

Evaluate 126/9Evaluate 15.5/5Find the GCF 18x , 15Evaluate 28-15Find the GCF 63 , 45 , 81

Frequently Asked Questions (FAQ)

  • What is lcm 30,42 ?

    The solution to lcm 30,42 is 210

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