Least Common Multiple of 4/21, 78/557, 31/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/21, 78/557, 31/314 quickly i.e. 4836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/21, 78/557, 31/314 is 4836.

LCM(4/21, 78/557, 31/314) = 4836

LCM of 4/21, 78/557, 31/314

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 4/21,78/557,31/314

Given numbers are 4/21,78/557,31/314

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 4,78,31

Least Common Multiple of Numerators i.e. LCM of 4,78,31 is 4836.

GCF of Denominators means GCF of 21,557,314 as per the given fractions.

GCF of 21,557,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,78,31

LCM of Fractions 4/21,78/557,31/314 is 4836

2 4, 78, 31
2, 39, 31

∴ So the LCM of the given numbers is 2 x 2 x 39 x 31 = 4836

Least Common Multiple of 4,78,31 with GCF Formula

Least Common Multiple of 4,78,31 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 4,78,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,78,31) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(4,78,31) x common factors =1 x 2 = 2

LCM(4,78,31) = ( 4 × 78 × 31 ) / 2

LCM(4,78,31) = 9672 / 2

LCM(4,78,31) = 4836


Lets's calculate GCF of 21,557,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4836/1

Therefore the LCM of Fractions 4/21,78/557,31/314 is 4836

Greatest Common Factor of 21,557,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,557,314 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 21,557,314 . The biggest common factor number is the GCF number.
So the greatest common factor 21,557,314 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 4/21, 78/557, 31/314

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 4/21, 78/557, 31/314?

Answer: LCM of Numerators as per given numbers 4/21, 78/557, 31/314 is

LCM of Numerators i.e. for 4,78,31 is 4836

GCF of denominators i.e. for 21,557,314 is 1.

Thus, LCM of Fractions is 4836.Finally, LCM of Fractions for 4/21, 78/557, 31/314 is 4836.