Least Common Multiple of 321, 960, 707, 175, 189

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 321, 960, 707, 175, 189 i.e. 3268036800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 321, 960, 707, 175, 189 is 3268036800.

LCM(321, 960, 707, 175, 189) = 3268036800

LCM of 321, 960, 707, 175, 189

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

LCM of:

Least Common Multiple of 321,960,707,175,189

Least Common Multiple (LCM) of 321,960,707,175,189 is 3268036800

3 321, 960, 707, 175, 189
5 107, 320, 707, 175, 63
7 107, 64, 707, 35, 63
107, 64, 101, 5, 9

∴ So the LCM of the given numbers is 3 x 5 x 7 x 107 x 64 x 101 x 5 x 9 = 3268036800

Least Common Multiple of 321,960,707,175,189 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 321,960,707,175,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,960,707,175,189) = 1

common factors(in case of two or more numbers have common factors) = 2205

GCF(321,960,707,175,189) x common factors =1 x 2205 = 2205

LCM(321,960,707,175,189) = ( 321 × 960 × 707 × 175 × 189 ) / 2205

LCM(321,960,707,175,189) = 7206021144000 / 2205

LCM(321,960,707,175,189) = 3268036800

∴ Least Common Multiple of 321,960,707,175,189 is 3268036800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 321, 960, 707, 175, 189

1. What is the LCM of 321, 960, 707, 175, 189?

Answer: LCM of 321, 960, 707, 175, 189 is 3268036800.

2. What are the Factors of 3268036800?

Answer: Factors of 3268036800 are . There are integers that are factors of 3268036800

3. How to Find the LCM of 321, 960, 707, 175, 189 ?

Least Common Multiple of 321, 960, 707, 175, 189.

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(321, 960, 707, 175, 189) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 101 x 107 = 3268036800.