Juningirlcastroidn
Answered

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what is the LCM of 12,20 and 24?​

Sagot :

Nightbringeryasuoidn

Answer:

= 120

Step-by-step explanation:

1. find the prime factors of 12.

12 = 6 × 2

ㅤ6 = 3 × 2

  • therefore the prime factors of 12 are 2 and 3.

2. find the prime factors of 20.

20 = 10 × 2

ㅤ10 = 2 × 5

  • therefore the prime factors of 20 are 2 and 5.

3. find the prime factors of 24.

24 = 12 × 2

ㅤ12 = 6 × 2

ㅤ6 = 3 × 2

  • therefore the prime factors of 24 are 2 and 3.

the prime factors 3 and 5 occur one time, while 2 occurs more than once.

the least common multiple is the product of all factors in the greatest number of their occurrence.

LCM = 2³ × 3 × 5

the least common multiple of 12, 20 and 24 is 120.

ㅤ

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