Least Common Multiple of 192/631, 2157/2762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 192/631, 2157/2762 quickly i.e. 138048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/631, 2157/2762 is 138048.

LCM(192/631, 2157/2762) = 138048

LCM of 192/631, 2157/2762

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 192/631,2157/2762

Given numbers are 192/631,2157/2762

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 192,2157

Least Common Multiple of Numerators i.e. LCM of 192,2157 is 138048.

GCF of Denominators means GCF of 631,2762 as per the given fractions.

GCF of 631,2762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,2157

LCM of Fractions 192/631,2157/2762 is 138048

3 192, 2157
64, 719

∴ So the LCM of the given numbers is 3 x 64 x 719 = 138048

Least Common Multiple of 192,2157 with GCF Formula

Least Common Multiple of 192,2157 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 192,2157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,2157) = 3

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

GCF(192,2157) x common factors =3 x 1 = 3

LCM(192,2157) = ( 192 × 2157 ) / 3

LCM(192,2157) = 414144 / 3

LCM(192,2157) = 138048


Lets's calculate GCF of 631,2762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138048/1

Therefore the LCM of Fractions 192/631,2157/2762 is 138048

Greatest Common Factor of 631,2762 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,2762 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 2762

List of positive integer factors of 2762 that divides 2762 without a remainder.

1,2,1381,2762

Greatest Common Factor

We found the factors 631,2762 . The biggest common factor number is the GCF number.
So the greatest common factor 631,2762 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 192/631, 2157/2762

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 192/631, 2157/2762?

Answer: LCM of Numerators as per given numbers 192/631, 2157/2762 is

LCM of Numerators i.e. for 192,2157 is 138048

GCF of denominators i.e. for 631,2762 is 1.

Thus, LCM of Fractions is 138048.Finally, LCM of Fractions for 192/631, 2157/2762 is 138048.