Least Common Multiple of 78/162, 7143/4962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/162, 7143/4962 quickly i.e. 30953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/162, 7143/4962 is 30953.

LCM(78/162, 7143/4962) = 30953

LCM of 78/162, 7143/4962

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 78/162,7143/4962

Given numbers are 78/162,7143/4962

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 78,7143

Least Common Multiple of Numerators i.e. LCM of 78,7143 is 185718.

GCF of Denominators means GCF of 162,4962 as per the given fractions.

GCF of 162,4962 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,7143

LCM of Fractions 78/162,7143/4962 is 30953

3 78, 7143
26, 2381

∴ So the LCM of the given numbers is 3 x 26 x 2381 = 185718

Least Common Multiple of 78,7143 with GCF Formula

Least Common Multiple of 78,7143 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 78,7143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,7143) = 3

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

GCF(78,7143) x common factors =3 x 1 = 3

LCM(78,7143) = ( 78 × 7143 ) / 3

LCM(78,7143) = 557154 / 3

LCM(78,7143) = 185718


Lets's calculate GCF of 162,4962

2 162, 4962
3 81, 2481
27, 827

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185718/6

Therefore the LCM of Fractions 78/162,7143/4962 is 30953

Greatest Common Factor of 162,4962 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,4962 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 4962

List of positive integer factors of 4962 that divides 4962 without a remainder.

1,2,3,6,827,1654,2481,4962

Greatest Common Factor

We found the factors 162,4962 . The biggest common factor number is the GCF number.
So the greatest common factor 162,4962 is 6.


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 78/162, 7143/4962

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 78/162, 7143/4962?

Answer: LCM of Numerators as per given numbers 78/162, 7143/4962 is

LCM of Numerators i.e. for 78,7143 is 185718

GCF of denominators i.e. for 162,4962 is 6.

Thus, LCM of Fractions is 30953.Finally, LCM of Fractions for 78/162, 7143/4962 is 30953.