Least Common Multiple of 20/936, 96/409, 925/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/936, 96/409, 925/297 quickly i.e. 88800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/936, 96/409, 925/297 is 88800.

LCM(20/936, 96/409, 925/297) = 88800

LCM of 20/936, 96/409, 925/297

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 20/936,96/409,925/297

Given numbers are 20/936,96/409,925/297

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 20,96,925

Least Common Multiple of Numerators i.e. LCM of 20,96,925 is 88800.

GCF of Denominators means GCF of 936,409,297 as per the given fractions.

GCF of 936,409,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,96,925

LCM of Fractions 20/936,96/409,925/297 is 88800

2 20, 96, 925
2 10, 48, 925
5 5, 24, 925
1, 24, 185

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 24 x 185 = 88800

Least Common Multiple of 20,96,925 with GCF Formula

Least Common Multiple of 20,96,925 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 20,96,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,96,925) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(20,96,925) x common factors =1 x 20 = 20

LCM(20,96,925) = ( 20 × 96 × 925 ) / 20

LCM(20,96,925) = 1776000 / 20

LCM(20,96,925) = 88800


Lets's calculate GCF of 936,409,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88800/1

Therefore the LCM of Fractions 20/936,96/409,925/297 is 88800

Greatest Common Factor of 936,409,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,409,297 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 936,409,297 . The biggest common factor number is the GCF number.
So the greatest common factor 936,409,297 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/936, 96/409, 925/297

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 20/936, 96/409, 925/297?

Answer: LCM of Numerators as per given numbers 20/936, 96/409, 925/297 is

LCM of Numerators i.e. for 20,96,925 is 88800

GCF of denominators i.e. for 936,409,297 is 1.

Thus, LCM of Fractions is 88800.Finally, LCM of Fractions for 20/936, 96/409, 925/297 is 88800.