Biology, asked by nidhineena8261, 1 year ago

Find the mCF of 30,60,90 and 105

Answers

Answered by akshitthakur2003
0

1. Decompose all numbers into prime factors

30 2 15 3 5 5 1 60 2 30 2 15 3 5 5 1 90 2 45 3 15 3 5 5 1 105 3 35 5 7 7 1

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

Prime factors of 30 = 2 . 3 . 5

Prime factors of 60 = 22 . 3 . 5

Prime factors of 90 = 2 . 32 . 5

Prime factors of 105 = 3 . 5 . 7

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

Common prime factors: 3 , 5


Common prime factors with the greatest exponent: 32, 51


Uncommon prime factors: 2 , 7


Uncommon prime factors with the greatest exponent: 22, 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 = 32. 51. 22. 71 = 1260

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