Least Common Multiple of 53/514, 3139/4722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/514, 3139/4722 quickly i.e. 166367/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/514, 3139/4722 is 166367/2.

LCM(53/514, 3139/4722) = 166367/2

LCM of 53/514, 3139/4722

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 53/514,3139/4722

Given numbers are 53/514,3139/4722

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 53,3139

Least Common Multiple of Numerators i.e. LCM of 53,3139 is 166367.

GCF of Denominators means GCF of 514,4722 as per the given fractions.

GCF of 514,4722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,3139

LCM of Fractions 53/514,3139/4722 is 166367/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 166367

Least Common Multiple of 53,3139 with GCF Formula

Least Common Multiple of 53,3139 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 53,3139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,3139) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,3139) x common factors =1 x 1 = 1

LCM(53,3139) = ( 53 × 3139 ) / 1

LCM(53,3139) = 166367 / 1

LCM(53,3139) = 166367


Lets's calculate GCF of 514,4722

2 514, 4722
257, 2361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166367/2

Therefore the LCM of Fractions 53/514,3139/4722 is 166367/2

Greatest Common Factor of 514,4722 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,4722 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 4722

List of positive integer factors of 4722 that divides 4722 without a remainder.

1,2,3,6,787,1574,2361,4722

Greatest Common Factor

We found the factors 514,4722 . The biggest common factor number is the GCF number.
So the greatest common factor 514,4722 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 53/514, 3139/4722

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 53/514, 3139/4722?

Answer: LCM of Numerators as per given numbers 53/514, 3139/4722 is

LCM of Numerators i.e. for 53,3139 is 166367

GCF of denominators i.e. for 514,4722 is 2.

Thus, LCM of Fractions is 166367/2.Finally, LCM of Fractions for 53/514, 3139/4722 is 166367/2.