Calculate the Least Common Multiple or LCM of 57, 114 and 247
Sponsors
The instructions to find the LCM of 57, 114 and 247 are the next:
1. Decompose all numbers into prime factors
57 | 3 |
19 | 19 |
1 |
114 | 2 |
57 | 3 |
19 | 19 |
1 |
247 | 13 |
19 | 19 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 57 | = | 3 . 19 |
Prime factors of 114 | = | 2 . 3 . 19 |
Prime factors of 247 | = | 13 . 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: 3 , 2 , 13
Uncommon prime factors with the greatest exponent: 31, 21, 131
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. 31. 21. 131 = 1482
Also calculates the: