Least Common Multiple of 162/37, 4713/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/37, 4713/538 quickly i.e. 254502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/37, 4713/538 is 254502.

LCM(162/37, 4713/538) = 254502

LCM of 162/37, 4713/538

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 162/37,4713/538

Given numbers are 162/37,4713/538

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 162,4713

Least Common Multiple of Numerators i.e. LCM of 162,4713 is 254502.

GCF of Denominators means GCF of 37,538 as per the given fractions.

GCF of 37,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,4713

LCM of Fractions 162/37,4713/538 is 254502

3 162, 4713
54, 1571

∴ So the LCM of the given numbers is 3 x 54 x 1571 = 254502

Least Common Multiple of 162,4713 with GCF Formula

Least Common Multiple of 162,4713 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 162,4713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,4713) = 3

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

GCF(162,4713) x common factors =3 x 1 = 3

LCM(162,4713) = ( 162 × 4713 ) / 3

LCM(162,4713) = 763506 / 3

LCM(162,4713) = 254502


Lets's calculate GCF of 37,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254502/1

Therefore the LCM of Fractions 162/37,4713/538 is 254502

Greatest Common Factor of 37,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,538 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 37,538 . The biggest common factor number is the GCF number.
So the greatest common factor 37,538 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 162/37, 4713/538

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 162/37, 4713/538?

Answer: LCM of Numerators as per given numbers 162/37, 4713/538 is

LCM of Numerators i.e. for 162,4713 is 254502

GCF of denominators i.e. for 37,538 is 1.

Thus, LCM of Fractions is 254502.Finally, LCM of Fractions for 162/37, 4713/538 is 254502.