Least Common Multiple of 85/21, 371/14, 876/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/21, 371/14, 876/725 quickly i.e. 27624660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/21, 371/14, 876/725 is 27624660.

LCM(85/21, 371/14, 876/725) = 27624660

LCM of 85/21, 371/14, 876/725

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 85/21,371/14,876/725

Given numbers are 85/21,371/14,876/725

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 85,371,876

Least Common Multiple of Numerators i.e. LCM of 85,371,876 is 27624660.

GCF of Denominators means GCF of 21,14,725 as per the given fractions.

GCF of 21,14,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,371,876

LCM of Fractions 85/21,371/14,876/725 is 27624660

Given numbers has no common factors except 1. So, there LCM is their product i.e 27624660

Least Common Multiple of 85,371,876 with GCF Formula

Least Common Multiple of 85,371,876 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 85,371,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,371,876) = 1

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

GCF(85,371,876) x common factors =1 x 1 = 1

LCM(85,371,876) = ( 85 × 371 × 876 ) / 1

LCM(85,371,876) = 27624660 / 1

LCM(85,371,876) = 27624660


Lets's calculate GCF of 21,14,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27624660/1

Therefore the LCM of Fractions 85/21,371/14,876/725 is 27624660

Greatest Common Factor of 21,14,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,14,725 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 21,14,725 . The biggest common factor number is the GCF number.
So the greatest common factor 21,14,725 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 85/21, 371/14, 876/725

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 85/21, 371/14, 876/725?

Answer: LCM of Numerators as per given numbers 85/21, 371/14, 876/725 is

LCM of Numerators i.e. for 85,371,876 is 27624660

GCF of denominators i.e. for 21,14,725 is 1.

Thus, LCM of Fractions is 27624660.Finally, LCM of Fractions for 85/21, 371/14, 876/725 is 27624660.