Least Common Multiple of 725, 249, 746, 480

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 725, 249, 746, 480 i.e. 2154746400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 725, 249, 746, 480 is 2154746400.

LCM(725, 249, 746, 480) = 2154746400

LCM of 725, 249, 746, 480

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

LCM of:

Least Common Multiple of 725,249,746,480

Least Common Multiple (LCM) of 725,249,746,480 is 2154746400

2 725, 249, 746, 480
3 725, 249, 373, 240
5 725, 83, 373, 80
145, 83, 373, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 145 x 83 x 373 x 16 = 2154746400

Least Common Multiple of 725,249,746,480 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 725,249,746,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,249,746,480) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(725,249,746,480) x common factors =1 x 30 = 30

LCM(725,249,746,480) = ( 725 × 249 × 746 × 480 ) / 30

LCM(725,249,746,480) = 64642392000 / 30

LCM(725,249,746,480) = 2154746400

∴ Least Common Multiple of 725,249,746,480 is 2154746400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 725, 249, 746, 480

1. What is the LCM of 725, 249, 746, 480?

Answer: LCM of 725, 249, 746, 480 is 2154746400.

2. What are the Factors of 2154746400?

Answer: Factors of 2154746400 are . There are integers that are factors of 2154746400

3. How to Find the LCM of 725, 249, 746, 480 ?

Least Common Multiple of 725, 249, 746, 480.

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(725, 249, 746, 480) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 29 x 83 x 373 = 2154746400.