find
lcm of 24 36 44 62
Answers
answer
1. Decompose all numbers into prime factors
24 2 12 2 6 2 3 3 1 36 2 18 2 9 3 3 3 1 44 2 22 2 11 11 1 62 2 31 31 1
2. Write all numbers as the product of its prime factors
Prime factors of 24 = 23 . 3
Prime factors of 36 = 22 . 32
Prime factors of 44 = 22 . 11
Prime factors of 62 = 2 . 31
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2
Common prime factors with the greatest exponent: 23
Uncommon prime factors: 3 , 11 , 31
Uncommon prime factors with the greatest exponent: 32, 111, 311
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 = 23. 32. 111. 311 = 24552