Least Common Multiple of 456/135, 193/735, 243/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/135, 193/735, 243/797 quickly i.e. 7128648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/135, 193/735, 243/797 is 7128648.

LCM(456/135, 193/735, 243/797) = 7128648

LCM of 456/135, 193/735, 243/797

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 456/135,193/735,243/797

Given numbers are 456/135,193/735,243/797

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 456,193,243

Least Common Multiple of Numerators i.e. LCM of 456,193,243 is 7128648.

GCF of Denominators means GCF of 135,735,797 as per the given fractions.

GCF of 135,735,797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,193,243

LCM of Fractions 456/135,193/735,243/797 is 7128648

3 456, 193, 243
152, 193, 81

∴ So the LCM of the given numbers is 3 x 152 x 193 x 81 = 7128648

Least Common Multiple of 456,193,243 with GCF Formula

Least Common Multiple of 456,193,243 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 456,193,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,193,243) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(456,193,243) x common factors =1 x 3 = 3

LCM(456,193,243) = ( 456 × 193 × 243 ) / 3

LCM(456,193,243) = 21385944 / 3

LCM(456,193,243) = 7128648


Lets's calculate GCF of 135,735,797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7128648/1

Therefore the LCM of Fractions 456/135,193/735,243/797 is 7128648

Greatest Common Factor of 135,735,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,735,797 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 135,735,797 . The biggest common factor number is the GCF number.
So the greatest common factor 135,735,797 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 456/135, 193/735, 243/797

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 456/135, 193/735, 243/797?

Answer: LCM of Numerators as per given numbers 456/135, 193/735, 243/797 is

LCM of Numerators i.e. for 456,193,243 is 7128648

GCF of denominators i.e. for 135,735,797 is 1.

Thus, LCM of Fractions is 7128648.Finally, LCM of Fractions for 456/135, 193/735, 243/797 is 7128648.