Least Common Multiple of 25/375, 761/435, 960/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/375, 761/435, 960/921 quickly i.e. 1217600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/375, 761/435, 960/921 is 1217600.

LCM(25/375, 761/435, 960/921) = 1217600

LCM of 25/375, 761/435, 960/921

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 25/375,761/435,960/921

Given numbers are 25/375,761/435,960/921

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 25,761,960

Least Common Multiple of Numerators i.e. LCM of 25,761,960 is 3652800.

GCF of Denominators means GCF of 375,435,921 as per the given fractions.

GCF of 375,435,921 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,761,960

LCM of Fractions 25/375,761/435,960/921 is 1217600

5 25, 761, 960
5, 761, 192

∴ So the LCM of the given numbers is 5 x 5 x 761 x 192 = 3652800

Least Common Multiple of 25,761,960 with GCF Formula

Least Common Multiple of 25,761,960 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 25,761,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,761,960) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,761,960) x common factors =1 x 5 = 5

LCM(25,761,960) = ( 25 × 761 × 960 ) / 5

LCM(25,761,960) = 18264000 / 5

LCM(25,761,960) = 3652800


Lets's calculate GCF of 375,435,921

3 375, 435, 921
125, 145, 307

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3652800/3

Therefore the LCM of Fractions 25/375,761/435,960/921 is 1217600

Greatest Common Factor of 375,435,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,435,921 By Matching Biggest Common Factor Method

Factors of 375

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

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

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 375,435,921 . The biggest common factor number is the GCF number.
So the greatest common factor 375,435,921 is 3.


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 25/375, 761/435, 960/921

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 25/375, 761/435, 960/921?

Answer: LCM of Numerators as per given numbers 25/375, 761/435, 960/921 is

LCM of Numerators i.e. for 25,761,960 is 3652800

GCF of denominators i.e. for 375,435,921 is 3.

Thus, LCM of Fractions is 1217600.Finally, LCM of Fractions for 25/375, 761/435, 960/921 is 1217600.