Least Common Multiple of 72/126, 309/766, 283/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/126, 309/766, 283/342 quickly i.e. 1049364 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, 309/766, 283/342 is 1049364.

LCM(72/126, 309/766, 283/342) = 1049364

LCM of 72/126, 309/766, 283/342

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 72/126,309/766,283/342

Given numbers are 72/126,309/766,283/342

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 72,309,283

Least Common Multiple of Numerators i.e. LCM of 72,309,283 is 2098728.

GCF of Denominators means GCF of 126,766,342 as per the given fractions.

GCF of 126,766,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,309,283

LCM of Fractions 72/126,309/766,283/342 is 1049364

3 72, 309, 283
24, 103, 283

∴ So the LCM of the given numbers is 3 x 24 x 103 x 283 = 2098728

Least Common Multiple of 72,309,283 with GCF Formula

Least Common Multiple of 72,309,283 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 72,309,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,309,283) = 1

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

GCF(72,309,283) x common factors =1 x 3 = 3

LCM(72,309,283) = ( 72 × 309 × 283 ) / 3

LCM(72,309,283) = 6296184 / 3

LCM(72,309,283) = 2098728


Lets's calculate GCF of 126,766,342

2 126, 766, 342
63, 383, 171

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2098728/2

Therefore the LCM of Fractions 72/126,309/766,283/342 is 1049364

Greatest Common Factor of 126,766,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,766,342 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 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 126,766,342 . The biggest common factor number is the GCF number.
So the greatest common factor 126,766,342 is 2.


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, 309/766, 283/342

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, 309/766, 283/342?

Answer: LCM of Numerators as per given numbers 72/126, 309/766, 283/342 is

LCM of Numerators i.e. for 72,309,283 is 2098728

GCF of denominators i.e. for 126,766,342 is 2.

Thus, LCM of Fractions is 1049364.Finally, LCM of Fractions for 72/126, 309/766, 283/342 is 1049364.