Least Common Multiple of 78/971, 48/281, 925/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/971, 48/281, 925/424 quickly i.e. 577200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/971, 48/281, 925/424 is 577200.

LCM(78/971, 48/281, 925/424) = 577200

LCM of 78/971, 48/281, 925/424

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 78/971,48/281,925/424

Given numbers are 78/971,48/281,925/424

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 78,48,925

Least Common Multiple of Numerators i.e. LCM of 78,48,925 is 577200.

GCF of Denominators means GCF of 971,281,424 as per the given fractions.

GCF of 971,281,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,48,925

LCM of Fractions 78/971,48/281,925/424 is 577200

2 78, 48, 925
3 39, 24, 925
13, 8, 925

∴ So the LCM of the given numbers is 2 x 3 x 13 x 8 x 925 = 577200

Least Common Multiple of 78,48,925 with GCF Formula

Least Common Multiple of 78,48,925 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 78,48,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,48,925) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,48,925) x common factors =1 x 6 = 6

LCM(78,48,925) = ( 78 × 48 × 925 ) / 6

LCM(78,48,925) = 3463200 / 6

LCM(78,48,925) = 577200


Lets's calculate GCF of 971,281,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 577200/1

Therefore the LCM of Fractions 78/971,48/281,925/424 is 577200

Greatest Common Factor of 971,281,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,281,424 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 971,281,424 . The biggest common factor number is the GCF number.
So the greatest common factor 971,281,424 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 78/971, 48/281, 925/424

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 78/971, 48/281, 925/424?

Answer: LCM of Numerators as per given numbers 78/971, 48/281, 925/424 is

LCM of Numerators i.e. for 78,48,925 is 577200

GCF of denominators i.e. for 971,281,424 is 1.

Thus, LCM of Fractions is 577200.Finally, LCM of Fractions for 78/971, 48/281, 925/424 is 577200.