lcm of 42,70,98,and 126
Answers
Step-by-step explanation:
The instructions to find the LCM of 42, 70, 98 and 126 are the next:
1. Decompose all numbers into prime factors
42 2 21 3 7 7 1 70 2 35 5 7 7 1 98 2 49 7 7 7 1 126 2 63 3 21 3 7 7 1
2. Write all numbers as the product of its prime factors
Prime factors of 42 = 2 . 3 . 7
Prime factors of 70 = 2 . 5 . 7
Prime factors of 98 = 2 . 72
Prime factors of 126 = 2 . 32 . 7
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 7
Common prime factors with the greatest exponent: 21, 72
Uncommon prime factors: 3 , 5
Uncommon prime factors with the greatest exponent: 32, 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 = 21. 72. 32. 51 = 4410
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