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 957, 495, 610, 491, 814 i.e. 31816048770 smallest integer divisible by all numbers.
Least common multiple (LCM) of 957, 495, 610, 491, 814 is 31816048770.
LCM(957, 495, 610, 491, 814) = 31816048770
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 957, 495, 610, 491, 814 |
3 | 957, 495, 305, 491, 407 |
5 | 319, 165, 305, 491, 407 |
11 | 319, 33, 61, 491, 407 |
29, 3, 61, 491, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 29 x 3 x 61 x 491 x 37 = 31816048770
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 957,495,610,491,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,495,610,491,814) = 1
common factors(in case of two or more numbers have common factors) = 3630
GCF(957,495,610,491,814) x common factors =1 x 3630 = 3630
LCM(957,495,610,491,814) = ( 957 × 495 × 610 × 491 × 814 ) / 3630
LCM(957,495,610,491,814) = 115492257035100 / 3630
LCM(957,495,610,491,814) = 31816048770
∴ Least Common Multiple of 957,495,610,491,814 is 31816048770
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 495, 610, 491, 814?
Answer: LCM of 957, 495, 610, 491, 814 is 31816048770.
2. What are the Factors of 31816048770?
Answer: Factors of 31816048770 are . There are integers that are factors of 31816048770
3. How to Find the LCM of 957, 495, 610, 491, 814 ?
Least Common Multiple of 957, 495, 610, 491, 814.
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(957, 495, 610, 491, 814) = 2 x 3 x 3 x 5 x 11 x 29 x 37 x 61 x 491 = 31816048770.