Calculate the Least Common Multiple or LCM of 38, 95 and 171
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The instructions to find the LCM of 38, 95 and 171 are the next:
1. Decompose all numbers into prime factors
38 | 2 |
19 | 19 |
1 |
95 | 5 |
19 | 19 |
1 |
171 | 3 |
57 | 3 |
19 | 19 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 38 | = | 2 . 19 |
Prime factors of 95 | = | 5 . 19 |
Prime factors of 171 | = | 32 . 19 |
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 19
Common prime factors with the greatest exponent: 191
Uncommon prime factors: 2 , 5 , 3
Uncommon prime factors with the greatest exponent: 21, 51, 32
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 = 191. 21. 51. 32 = 1710
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