Least Common Multiple of 970, 700, 319, 351, 507

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 970, 700, 319, 351, 507 i.e. 98835036300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 970, 700, 319, 351, 507 is 98835036300.

LCM(970, 700, 319, 351, 507) = 98835036300

LCM of 970, 700, 319, 351, 507

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

LCM of:

Least Common Multiple of 970,700,319,351,507

Least Common Multiple (LCM) of 970,700,319,351,507 is 98835036300

2 970, 700, 319, 351, 507
3 485, 350, 319, 351, 507
5 485, 350, 319, 117, 169
13 97, 70, 319, 117, 169
97, 70, 319, 9, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 97 x 70 x 319 x 9 x 13 = 98835036300

Least Common Multiple of 970,700,319,351,507 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 970,700,319,351,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,700,319,351,507) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(970,700,319,351,507) x common factors =1 x 390 = 390

LCM(970,700,319,351,507) = ( 970 × 700 × 319 × 351 × 507 ) / 390

LCM(970,700,319,351,507) = 38545664157000 / 390

LCM(970,700,319,351,507) = 98835036300

∴ Least Common Multiple of 970,700,319,351,507 is 98835036300

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 970, 700, 319, 351, 507

1. What is the LCM of 970, 700, 319, 351, 507?

Answer: LCM of 970, 700, 319, 351, 507 is 98835036300.

2. What are the Factors of 98835036300?

Answer: Factors of 98835036300 are . There are integers that are factors of 98835036300

3. How to Find the LCM of 970, 700, 319, 351, 507 ?

Least Common Multiple of 970, 700, 319, 351, 507.

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(970, 700, 319, 351, 507) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 13 x 13 x 29 x 97 = 98835036300.