Least Common Multiple of 981, 690, 732, 490, 514

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 981, 690, 732, 490, 514 i.e. 346645747980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 981, 690, 732, 490, 514 is 346645747980.

LCM(981, 690, 732, 490, 514) = 346645747980

LCM of 981, 690, 732, 490, 514

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 981,690,732,490,514

Least Common Multiple (LCM) of 981,690,732,490,514 is 346645747980

2 981, 690, 732, 490, 514
3 981, 345, 366, 245, 257
5 327, 115, 122, 245, 257
327, 23, 122, 49, 257

∴ So the LCM of the given numbers is 2 x 3 x 5 x 327 x 23 x 122 x 49 x 257 = 346645747980

Least Common Multiple of 981,690,732,490,514 with GCF Formula

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 981,690,732,490,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,690,732,490,514) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(981,690,732,490,514) x common factors =1 x 360 = 360

LCM(981,690,732,490,514) = ( 981 × 690 × 732 × 490 × 514 ) / 360

LCM(981,690,732,490,514) = 124792469272800 / 360

LCM(981,690,732,490,514) = 346645747980

∴ Least Common Multiple of 981,690,732,490,514 is 346645747980

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 981, 690, 732, 490, 514

1. What is the LCM of 981, 690, 732, 490, 514?

Answer: LCM of 981, 690, 732, 490, 514 is 346645747980.

2. What are the Factors of 346645747980?

Answer: Factors of 346645747980 are . There are integers that are factors of 346645747980

3. How to Find the LCM of 981, 690, 732, 490, 514 ?

Least Common Multiple of 981, 690, 732, 490, 514.

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(981, 690, 732, 490, 514) = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 23 x 61 x 109 x 257 = 346645747980.