Least Common Multiple of 25/57, 75/687, 882/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/57, 75/687, 882/616 quickly i.e. 22050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/57, 75/687, 882/616 is 22050.

LCM(25/57, 75/687, 882/616) = 22050

LCM of 25/57, 75/687, 882/616

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 25/57,75/687,882/616

Given numbers are 25/57,75/687,882/616

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 25,75,882

Least Common Multiple of Numerators i.e. LCM of 25,75,882 is 22050.

GCF of Denominators means GCF of 57,687,616 as per the given fractions.

GCF of 57,687,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,75,882

LCM of Fractions 25/57,75/687,882/616 is 22050

3 25, 75, 882
5 25, 25, 294
5 5, 5, 294
1, 1, 294

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 1 x 294 = 22050

Least Common Multiple of 25,75,882 with GCF Formula

Least Common Multiple of 25,75,882 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 25,75,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,75,882) = 1

common factors(in case of two or more numbers have common factors) = 75

GCF(25,75,882) x common factors =1 x 75 = 75

LCM(25,75,882) = ( 25 × 75 × 882 ) / 75

LCM(25,75,882) = 1653750 / 75

LCM(25,75,882) = 22050


Lets's calculate GCF of 57,687,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22050/1

Therefore the LCM of Fractions 25/57,75/687,882/616 is 22050

Greatest Common Factor of 57,687,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,687,616 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 57,687,616 . The biggest common factor number is the GCF number.
So the greatest common factor 57,687,616 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/57, 75/687, 882/616

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 25/57, 75/687, 882/616?

Answer: LCM of Numerators as per given numbers 25/57, 75/687, 882/616 is

LCM of Numerators i.e. for 25,75,882 is 22050

GCF of denominators i.e. for 57,687,616 is 1.

Thus, LCM of Fractions is 22050.Finally, LCM of Fractions for 25/57, 75/687, 882/616 is 22050.