Least Common Multiple of 72/126, 646/383, 323/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/126, 646/383, 323/243 quickly i.e. 23256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/126, 646/383, 323/243 is 23256.

LCM(72/126, 646/383, 323/243) = 23256

LCM of 72/126, 646/383, 323/243

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 72/126,646/383,323/243

Given numbers are 72/126,646/383,323/243

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 72,646,323

Least Common Multiple of Numerators i.e. LCM of 72,646,323 is 23256.

GCF of Denominators means GCF of 126,383,243 as per the given fractions.

GCF of 126,383,243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,646,323

LCM of Fractions 72/126,646/383,323/243 is 23256

2 72, 646, 323
17 36, 323, 323
19 36, 19, 19
36, 1, 1

∴ So the LCM of the given numbers is 2 x 17 x 19 x 36 x 1 x 1 = 23256

Least Common Multiple of 72,646,323 with GCF Formula

Least Common Multiple of 72,646,323 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 72,646,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,646,323) = 1

common factors(in case of two or more numbers have common factors) = 646

GCF(72,646,323) x common factors =1 x 646 = 646

LCM(72,646,323) = ( 72 × 646 × 323 ) / 646

LCM(72,646,323) = 15023376 / 646

LCM(72,646,323) = 23256


Lets's calculate GCF of 126,383,243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23256/1

Therefore the LCM of Fractions 72/126,646/383,323/243 is 23256

Greatest Common Factor of 126,383,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,383,243 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 126,383,243 . The biggest common factor number is the GCF number.
So the greatest common factor 126,383,243 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 72/126, 646/383, 323/243

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 72/126, 646/383, 323/243?

Answer: LCM of Numerators as per given numbers 72/126, 646/383, 323/243 is

LCM of Numerators i.e. for 72,646,323 is 23256

GCF of denominators i.e. for 126,383,243 is 1.

Thus, LCM of Fractions is 23256.Finally, LCM of Fractions for 72/126, 646/383, 323/243 is 23256.