Can you tell LCM of 70,140,350
Answers
Answer:
700
Step-by-step explanation:
1. Decompose all numbers into prime factors
70 2 35 5 7 7 1 140 2 70 2 35 5 7 7 1 350 2 175 5 35 5 7 7 1
2. Write all numbers as the product of its prime factors
Prime factors of 70 = 2 . 5 . 7
Prime factors of 140 = 22 . 5 . 7
Prime factors of 350 = 2 . 52 . 7
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5 , 7
Common prime factors with the greatest exponent: 22, 52, 71
Uncommon prime factors: None
Uncommon prime factors with the greatest exponent: None
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 = 22. 52. 71 = 700
Answer:
LCM is 700
Step-by-step explanation:
The LCM of 70,140,350 can done in
2*5*7*2*5
OR
70*2*5