Least Common Multiple of 96/126, 7728/1273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/126, 7728/1273 quickly i.e. 15456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/126, 7728/1273 is 15456.

LCM(96/126, 7728/1273) = 15456

LCM of 96/126, 7728/1273

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 96/126,7728/1273

Given numbers are 96/126,7728/1273

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 96,7728

Least Common Multiple of Numerators i.e. LCM of 96,7728 is 15456.

GCF of Denominators means GCF of 126,1273 as per the given fractions.

GCF of 126,1273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,7728

LCM of Fractions 96/126,7728/1273 is 15456

2 96, 7728
2 48, 3864
2 24, 1932
2 12, 966
3 6, 483
2, 161

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 161 = 15456

Least Common Multiple of 96,7728 with GCF Formula

Least Common Multiple of 96,7728 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 96,7728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,7728) = 48

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

GCF(96,7728) x common factors =48 x 1 = 48

LCM(96,7728) = ( 96 × 7728 ) / 48

LCM(96,7728) = 741888 / 48

LCM(96,7728) = 15456


Lets's calculate GCF of 126,1273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15456/1

Therefore the LCM of Fractions 96/126,7728/1273 is 15456

Greatest Common Factor of 126,1273 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,1273 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 1273

List of positive integer factors of 1273 that divides 1273 without a remainder.

1,19,67,1273

Greatest Common Factor

We found the factors 126,1273 . The biggest common factor number is the GCF number.
So the greatest common factor 126,1273 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 96/126, 7728/1273

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 96/126, 7728/1273?

Answer: LCM of Numerators as per given numbers 96/126, 7728/1273 is

LCM of Numerators i.e. for 96,7728 is 15456

GCF of denominators i.e. for 126,1273 is 1.

Thus, LCM of Fractions is 15456.Finally, LCM of Fractions for 96/126, 7728/1273 is 15456.