Least Common Multiple of 728/975, 547/864, 425/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/975, 547/864, 425/478 quickly i.e. 169241800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/975, 547/864, 425/478 is 169241800.

LCM(728/975, 547/864, 425/478) = 169241800

LCM of 728/975, 547/864, 425/478

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 728/975,547/864,425/478

Given numbers are 728/975,547/864,425/478

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 728,547,425

Least Common Multiple of Numerators i.e. LCM of 728,547,425 is 169241800.

GCF of Denominators means GCF of 975,864,478 as per the given fractions.

GCF of 975,864,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,547,425

LCM of Fractions 728/975,547/864,425/478 is 169241800

Given numbers has no common factors except 1. So, there LCM is their product i.e 169241800

Least Common Multiple of 728,547,425 with GCF Formula

Least Common Multiple of 728,547,425 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 728,547,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,547,425) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(728,547,425) x common factors =1 x 1 = 1

LCM(728,547,425) = ( 728 × 547 × 425 ) / 1

LCM(728,547,425) = 169241800 / 1

LCM(728,547,425) = 169241800


Lets's calculate GCF of 975,864,478

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169241800/1

Therefore the LCM of Fractions 728/975,547/864,425/478 is 169241800

Greatest Common Factor of 975,864,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,864,478 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 975,864,478 . The biggest common factor number is the GCF number.
So the greatest common factor 975,864,478 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 728/975, 547/864, 425/478

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 728/975, 547/864, 425/478?

Answer: LCM of Numerators as per given numbers 728/975, 547/864, 425/478 is

LCM of Numerators i.e. for 728,547,425 is 169241800

GCF of denominators i.e. for 975,864,478 is 1.

Thus, LCM of Fractions is 169241800.Finally, LCM of Fractions for 728/975, 547/864, 425/478 is 169241800.