Math, asked by siranchikumar8832, 6 months ago

84,144,96,find the lcm of numbers with comman division with steps

Answers

Answered by Anonymous
1

Step-by-step explanation:

1. Decompose all numbers into prime factors

84 2 42 2 21 3 7 7 1

96 2 48 2 24 2 12 2 6 2 3 3 1

144 2 72 2 36 2 18 2 9 3 3 3 1

2. Write all numbers as the product of its prime factors

Prime factors of 84 = 22 . 3 . 7

Prime factors of 96 = 25 . 3

Prime factors of 144 = 24 . 32

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2 , 3

Common prime factors with the greatest exponent: 25, 32

Uncommon prime factors: 7

Uncommon prime factors with the greatest exponent: 71

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 25. 32. 71 = 2016

Answered by kriseemahop
1

here is your answer mate

hope it will help you

Attachments:
Similar questions