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 249, 960, 475, 810, 351 i.e. 2656929600 smallest integer divisible by all numbers.
Least common multiple (LCM) of 249, 960, 475, 810, 351 is 2656929600.
LCM(249, 960, 475, 810, 351) = 2656929600
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 249, 960, 475, 810, 351 |
3 | 249, 480, 475, 405, 351 |
3 | 83, 160, 475, 135, 117 |
3 | 83, 160, 475, 45, 39 |
5 | 83, 160, 475, 15, 13 |
83, 32, 95, 3, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 83 x 32 x 95 x 3 x 13 = 2656929600
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 249,960,475,810,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,960,475,810,351) = 1
common factors(in case of two or more numbers have common factors) = 12150
GCF(249,960,475,810,351) x common factors =1 x 12150 = 12150
LCM(249,960,475,810,351) = ( 249 × 960 × 475 × 810 × 351 ) / 12150
LCM(249,960,475,810,351) = 32281694640000 / 12150
LCM(249,960,475,810,351) = 2656929600
∴ Least Common Multiple of 249,960,475,810,351 is 2656929600
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 960, 475, 810, 351?
Answer: LCM of 249, 960, 475, 810, 351 is 2656929600.
2. What are the Factors of 2656929600?
Answer: Factors of 2656929600 are . There are integers that are factors of 2656929600
3. How to Find the LCM of 249, 960, 475, 810, 351 ?
Least Common Multiple of 249, 960, 475, 810, 351.
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(249, 960, 475, 810, 351) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 13 x 19 x 83 = 2656929600.