L.C.M. of 72, 90 and 108
Answers
Answer: 1080
Step-by-step explanation:
The instructions to find the LCM of 72, 90 and 108 are the next:
1. Decompose all numbers into prime factors
72 2 36 2 18 2 9 3 3 3 1 90 2 45 3 15 3 5 5 1 108 2 54 2 27 3 9 3 3 3 1
2. Write all numbers as the product of its prime factors
Prime factors of 72 = 23 . 32
Prime factors of 90 = 2 . 32 . 5
Prime factors of 108 = 22 . 33
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 3
Common prime factors with the greatest exponent: 23, 33
Uncommon prime factors: 5
Uncommon prime factors with the greatest exponent: 51
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. 33. 51 = 1080
Answer:
1808
Step-by-step explanation:
72=2 x 2 x 2 x 3 x 3
90=2 x 3 x 3 x 5 = 1080
108=2 x 2 x 3 x 3 x 3