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 402, 522, 441, 428 i.e. 366737364 smallest integer divisible by all numbers.
Least common multiple (LCM) of 402, 522, 441, 428 is 366737364.
LCM(402, 522, 441, 428) = 366737364
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 402, 522, 441, 428 |
3 | 201, 261, 441, 214 |
3 | 67, 87, 147, 214 |
67, 29, 49, 214 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 67 x 29 x 49 x 214 = 366737364
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 402,522,441,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,522,441,428) = 1
common factors(in case of two or more numbers have common factors) = 108
GCF(402,522,441,428) x common factors =1 x 108 = 108
LCM(402,522,441,428) = ( 402 × 522 × 441 × 428 ) / 108
LCM(402,522,441,428) = 39607635312 / 108
LCM(402,522,441,428) = 366737364
∴ Least Common Multiple of 402,522,441,428 is 366737364
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 522, 441, 428?
Answer: LCM of 402, 522, 441, 428 is 366737364.
2. What are the Factors of 366737364?
Answer: Factors of 366737364 are . There are integers that are factors of 366737364
3. How to Find the LCM of 402, 522, 441, 428 ?
Least Common Multiple of 402, 522, 441, 428.
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(402, 522, 441, 428) = 2 x 2 x 3 x 3 x 7 x 7 x 29 x 67 x 107 = 366737364.