Least Common Multiple of 716/494, 9256/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 716/494, 9256/856 quickly i.e. 828412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 716/494, 9256/856 is 828412.

LCM(716/494, 9256/856) = 828412

LCM of 716/494, 9256/856

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 716/494,9256/856

Given numbers are 716/494,9256/856

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 716,9256

Least Common Multiple of Numerators i.e. LCM of 716,9256 is 1656824.

GCF of Denominators means GCF of 494,856 as per the given fractions.

GCF of 494,856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 716,9256

LCM of Fractions 716/494,9256/856 is 828412

2 716, 9256
2 358, 4628
179, 2314

∴ So the LCM of the given numbers is 2 x 2 x 179 x 2314 = 1656824

Least Common Multiple of 716,9256 with GCF Formula

Least Common Multiple of 716,9256 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 716,9256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,9256) = 4

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

GCF(716,9256) x common factors =4 x 1 = 4

LCM(716,9256) = ( 716 × 9256 ) / 4

LCM(716,9256) = 6627296 / 4

LCM(716,9256) = 1656824


Lets's calculate GCF of 494,856

2 494, 856
247, 428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656824/2

Therefore the LCM of Fractions 716/494,9256/856 is 828412

Greatest Common Factor of 494,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,856 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 494,856 . The biggest common factor number is the GCF number.
So the greatest common factor 494,856 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 716/494, 9256/856

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 716/494, 9256/856?

Answer: LCM of Numerators as per given numbers 716/494, 9256/856 is

LCM of Numerators i.e. for 716,9256 is 1656824

GCF of denominators i.e. for 494,856 is 2.

Thus, LCM of Fractions is 828412.Finally, LCM of Fractions for 716/494, 9256/856 is 828412.