Find, the LCM of 5, 10,
15, 30, 35.
Answers
Answer:
LCM of 5,10,15,30,35 is 210
Answer:
The instructions to find the LCM of 10, 15, 30 and 35 are the next:
1. Decompose all numbers into prime factors
10 =2 5 5 1 15= 3 5 5 1 30= 2 15 3 5 5 1 35= 5 7 7 1
2. Write all numbers as the product of its prime factors
Prime factors of 10 = 2 . 5
Prime factors of 15 = 3 . 5
Prime factors of 30 = 2 . 3 . 5
Prime factors of 35 = 5 . 7
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 5
Common prime factors with the greatest exponent: 51
Uncommon prime factors: 2 , 3 , 7
Uncommon prime factors with the greatest exponent: 21, 31, 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 = 51. 21. 31. 71 = 210