Least Common Multiple of 6496/979, 9176/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6496/979, 9176/842 quickly i.e. 7450912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6496/979, 9176/842 is 7450912.

LCM(6496/979, 9176/842) = 7450912

LCM of 6496/979, 9176/842

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 6496/979,9176/842

Given numbers are 6496/979,9176/842

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 6496,9176

Least Common Multiple of Numerators i.e. LCM of 6496,9176 is 7450912.

GCF of Denominators means GCF of 979,842 as per the given fractions.

GCF of 979,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6496,9176

LCM of Fractions 6496/979,9176/842 is 7450912

2 6496, 9176
2 3248, 4588
2 1624, 2294
812, 1147

∴ So the LCM of the given numbers is 2 x 2 x 2 x 812 x 1147 = 7450912

Least Common Multiple of 6496,9176 with GCF Formula

Least Common Multiple of 6496,9176 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 6496,9176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6496,9176) = 8

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

GCF(6496,9176) x common factors =8 x 1 = 8

LCM(6496,9176) = ( 6496 × 9176 ) / 8

LCM(6496,9176) = 59607296 / 8

LCM(6496,9176) = 7450912


Lets's calculate GCF of 979,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7450912/1

Therefore the LCM of Fractions 6496/979,9176/842 is 7450912

Greatest Common Factor of 979,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,842 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 979,842 . The biggest common factor number is the GCF number.
So the greatest common factor 979,842 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 6496/979, 9176/842

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 6496/979, 9176/842?

Answer: LCM of Numerators as per given numbers 6496/979, 9176/842 is

LCM of Numerators i.e. for 6496,9176 is 7450912

GCF of denominators i.e. for 979,842 is 1.

Thus, LCM of Fractions is 7450912.Finally, LCM of Fractions for 6496/979, 9176/842 is 7450912.