Least Common Multiple of 930, 990, 136, 306, 351

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 930, 990, 136, 306, 351 i.e. 81389880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 930, 990, 136, 306, 351 is 81389880.

LCM(930, 990, 136, 306, 351) = 81389880

LCM of 930, 990, 136, 306, 351

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

LCM of:

Least Common Multiple of 930,990,136,306,351

Least Common Multiple (LCM) of 930,990,136,306,351 is 81389880

2 930, 990, 136, 306, 351
3 465, 495, 68, 153, 351
3 155, 165, 68, 51, 117
5 155, 55, 68, 17, 39
17 31, 11, 68, 17, 39
31, 11, 4, 1, 39

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 17 x 31 x 11 x 4 x 1 x 39 = 81389880

Least Common Multiple of 930,990,136,306,351 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 930,990,136,306,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,990,136,306,351) = 1

common factors(in case of two or more numbers have common factors) = 165240

GCF(930,990,136,306,351) x common factors =1 x 165240 = 165240

LCM(930,990,136,306,351) = ( 930 × 990 × 136 × 306 × 351 ) / 165240

LCM(930,990,136,306,351) = 13448863771200 / 165240

LCM(930,990,136,306,351) = 81389880

∴ Least Common Multiple of 930,990,136,306,351 is 81389880

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 930, 990, 136, 306, 351

1. What is the LCM of 930, 990, 136, 306, 351?

Answer: LCM of 930, 990, 136, 306, 351 is 81389880.

2. What are the Factors of 81389880?

Answer: Factors of 81389880 are . There are integers that are factors of 81389880

3. How to Find the LCM of 930, 990, 136, 306, 351 ?

Least Common Multiple of 930, 990, 136, 306, 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(930, 990, 136, 306, 351) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 x 17 x 31 = 81389880.