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 496, 689, 492, 533, 558 i.e. 126103536 smallest integer divisible by all numbers.
Least common multiple (LCM) of 496, 689, 492, 533, 558 is 126103536.
LCM(496, 689, 492, 533, 558) = 126103536
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 496, 689, 492, 533, 558 |
2 | 248, 689, 246, 533, 279 |
3 | 124, 689, 123, 533, 279 |
13 | 124, 689, 41, 533, 93 |
31 | 124, 53, 41, 41, 93 |
41 | 4, 53, 41, 41, 3 |
4, 53, 1, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 31 x 41 x 4 x 53 x 1 x 1 x 3 = 126103536
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 496,689,492,533,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,689,492,533,558) = 1
common factors(in case of two or more numbers have common factors) = 396552
GCF(496,689,492,533,558) x common factors =1 x 396552 = 396552
LCM(496,689,492,533,558) = ( 496 × 689 × 492 × 533 × 558 ) / 396552
LCM(496,689,492,533,558) = 50006609407872 / 396552
LCM(496,689,492,533,558) = 126103536
∴ Least Common Multiple of 496,689,492,533,558 is 126103536
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 496, 689, 492, 533, 558?
Answer: LCM of 496, 689, 492, 533, 558 is 126103536.
2. What are the Factors of 126103536?
Answer: Factors of 126103536 are . There are integers that are factors of 126103536
3. How to Find the LCM of 496, 689, 492, 533, 558 ?
Least Common Multiple of 496, 689, 492, 533, 558.
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(496, 689, 492, 533, 558) = 2 x 2 x 2 x 2 x 3 x 3 x 13 x 31 x 41 x 53 = 126103536.