Least Common Multiple of 25/502, 162/988, 475/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/502, 162/988, 475/140 quickly i.e. 38475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/502, 162/988, 475/140 is 38475.

LCM(25/502, 162/988, 475/140) = 38475

LCM of 25/502, 162/988, 475/140

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 25/502,162/988,475/140

Given numbers are 25/502,162/988,475/140

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 25,162,475

Least Common Multiple of Numerators i.e. LCM of 25,162,475 is 76950.

GCF of Denominators means GCF of 502,988,140 as per the given fractions.

GCF of 502,988,140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,162,475

LCM of Fractions 25/502,162/988,475/140 is 38475

5 25, 162, 475
5 5, 162, 95
1, 162, 19

∴ So the LCM of the given numbers is 5 x 5 x 1 x 162 x 19 = 76950

Least Common Multiple of 25,162,475 with GCF Formula

Least Common Multiple of 25,162,475 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 25,162,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,162,475) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(25,162,475) x common factors =1 x 25 = 25

LCM(25,162,475) = ( 25 × 162 × 475 ) / 25

LCM(25,162,475) = 1923750 / 25

LCM(25,162,475) = 76950


Lets's calculate GCF of 502,988,140

2 502, 988, 140
251, 494, 70

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76950/2

Therefore the LCM of Fractions 25/502,162/988,475/140 is 38475

Greatest Common Factor of 502,988,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,988,140 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 502,988,140 . The biggest common factor number is the GCF number.
So the greatest common factor 502,988,140 is 2.


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 25/502, 162/988, 475/140

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 25/502, 162/988, 475/140?

Answer: LCM of Numerators as per given numbers 25/502, 162/988, 475/140 is

LCM of Numerators i.e. for 25,162,475 is 76950

GCF of denominators i.e. for 502,988,140 is 2.

Thus, LCM of Fractions is 38475.Finally, LCM of Fractions for 25/502, 162/988, 475/140 is 38475.