Least Common Multiple of 9076/797, 8196/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9076/797, 8196/782 quickly i.e. 18596724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9076/797, 8196/782 is 18596724.

LCM(9076/797, 8196/782) = 18596724

LCM of 9076/797, 8196/782

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 9076/797,8196/782

Given numbers are 9076/797,8196/782

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 9076,8196

Least Common Multiple of Numerators i.e. LCM of 9076,8196 is 18596724.

GCF of Denominators means GCF of 797,782 as per the given fractions.

GCF of 797,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9076,8196

LCM of Fractions 9076/797,8196/782 is 18596724

2 9076, 8196
2 4538, 4098
2269, 2049

∴ So the LCM of the given numbers is 2 x 2 x 2269 x 2049 = 18596724

Least Common Multiple of 9076,8196 with GCF Formula

Least Common Multiple of 9076,8196 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 9076,8196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9076,8196) = 4

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

GCF(9076,8196) x common factors =4 x 1 = 4

LCM(9076,8196) = ( 9076 × 8196 ) / 4

LCM(9076,8196) = 74386896 / 4

LCM(9076,8196) = 18596724


Lets's calculate GCF of 797,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18596724/1

Therefore the LCM of Fractions 9076/797,8196/782 is 18596724

Greatest Common Factor of 797,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,782 By Matching Biggest Common Factor Method

Factors of 797

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

1,797

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 797,782 . The biggest common factor number is the GCF number.
So the greatest common factor 797,782 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9076/797, 8196/782

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 9076/797, 8196/782?

Answer: LCM of Numerators as per given numbers 9076/797, 8196/782 is

LCM of Numerators i.e. for 9076,8196 is 18596724

GCF of denominators i.e. for 797,782 is 1.

Thus, LCM of Fractions is 18596724.Finally, LCM of Fractions for 9076/797, 8196/782 is 18596724.