Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 442, 284, 702, 522 i.e. 49144212 smallest integer divisible by all numbers.
Least common multiple (LCM) of 442, 284, 702, 522 is 49144212.
LCM(442, 284, 702, 522) = 49144212
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 442, 284, 702, 522 |
3 | 221, 142, 351, 261 |
3 | 221, 142, 117, 87 |
13 | 221, 142, 39, 29 |
17, 142, 3, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 17 x 142 x 3 x 29 = 49144212
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 442,284,702,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,284,702,522) = 2
common factors(in case of two or more numbers have common factors) = 468
GCF(442,284,702,522) x common factors =2 x 468 = 936
LCM(442,284,702,522) = ( 442 × 284 × 702 × 522 ) / 936
LCM(442,284,702,522) = 45998982432 / 936
LCM(442,284,702,522) = 49144212
∴ Least Common Multiple of 442,284,702,522 is 49144212
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 284, 702, 522?
Answer: LCM of 442, 284, 702, 522 is 49144212.
2. What are the Factors of 49144212?
Answer: Factors of 49144212 are . There are integers that are factors of 49144212
3. How to Find the LCM of 442, 284, 702, 522 ?
Least Common Multiple of 442, 284, 702, 522.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(442, 284, 702, 522) = 2 x 2 x 3 x 3 x 3 x 13 x 17 x 29 x 71 = 49144212.