Least Common Multiple of 544/289, 375/888, 910/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/289, 375/888, 910/971 quickly i.e. 18564000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/289, 375/888, 910/971 is 18564000.

LCM(544/289, 375/888, 910/971) = 18564000

LCM of 544/289, 375/888, 910/971

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 544/289,375/888,910/971

Given numbers are 544/289,375/888,910/971

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 544,375,910

Least Common Multiple of Numerators i.e. LCM of 544,375,910 is 18564000.

GCF of Denominators means GCF of 289,888,971 as per the given fractions.

GCF of 289,888,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,375,910

LCM of Fractions 544/289,375/888,910/971 is 18564000

2 544, 375, 910
5 272, 375, 455
272, 75, 91

∴ So the LCM of the given numbers is 2 x 5 x 272 x 75 x 91 = 18564000

Least Common Multiple of 544,375,910 with GCF Formula

Least Common Multiple of 544,375,910 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 544,375,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,375,910) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(544,375,910) x common factors =1 x 10 = 10

LCM(544,375,910) = ( 544 × 375 × 910 ) / 10

LCM(544,375,910) = 185640000 / 10

LCM(544,375,910) = 18564000


Lets's calculate GCF of 289,888,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18564000/1

Therefore the LCM of Fractions 544/289,375/888,910/971 is 18564000

Greatest Common Factor of 289,888,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,888,971 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 289,888,971 . The biggest common factor number is the GCF number.
So the greatest common factor 289,888,971 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 544/289, 375/888, 910/971

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 544/289, 375/888, 910/971?

Answer: LCM of Numerators as per given numbers 544/289, 375/888, 910/971 is

LCM of Numerators i.e. for 544,375,910 is 18564000

GCF of denominators i.e. for 289,888,971 is 1.

Thus, LCM of Fractions is 18564000.Finally, LCM of Fractions for 544/289, 375/888, 910/971 is 18564000.