Least Common Multiple of 867/916, 544/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/916, 544/375 quickly i.e. 27744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/916, 544/375 is 27744.

LCM(867/916, 544/375) = 27744

LCM of 867/916, 544/375

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 867/916,544/375

Given numbers are 867/916,544/375

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 867,544

Least Common Multiple of Numerators i.e. LCM of 867,544 is 27744.

GCF of Denominators means GCF of 916,375 as per the given fractions.

GCF of 916,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,544

LCM of Fractions 867/916,544/375 is 27744

17 867, 544
51, 32

∴ So the LCM of the given numbers is 17 x 51 x 32 = 27744

Least Common Multiple of 867,544 with GCF Formula

Least Common Multiple of 867,544 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 867,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,544) = 17

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

GCF(867,544) x common factors =17 x 1 = 17

LCM(867,544) = ( 867 × 544 ) / 17

LCM(867,544) = 471648 / 17

LCM(867,544) = 27744


Lets's calculate GCF of 916,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27744/1

Therefore the LCM of Fractions 867/916,544/375 is 27744

Greatest Common Factor of 916,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,375 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 916,375 . The biggest common factor number is the GCF number.
So the greatest common factor 916,375 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 867/916, 544/375

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 867/916, 544/375?

Answer: LCM of Numerators as per given numbers 867/916, 544/375 is

LCM of Numerators i.e. for 867,544 is 27744

GCF of denominators i.e. for 916,375 is 1.

Thus, LCM of Fractions is 27744.Finally, LCM of Fractions for 867/916, 544/375 is 27744.