Least Common Multiple of 424/801, 768/116, 494/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/801, 768/116, 494/917 quickly i.e. 10053888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/801, 768/116, 494/917 is 10053888.

LCM(424/801, 768/116, 494/917) = 10053888

LCM of 424/801, 768/116, 494/917

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 424/801,768/116,494/917

Given numbers are 424/801,768/116,494/917

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 424,768,494

Least Common Multiple of Numerators i.e. LCM of 424,768,494 is 10053888.

GCF of Denominators means GCF of 801,116,917 as per the given fractions.

GCF of 801,116,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,768,494

LCM of Fractions 424/801,768/116,494/917 is 10053888

2 424, 768, 494
2 212, 384, 247
2 106, 192, 247
53, 96, 247

∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 96 x 247 = 10053888

Least Common Multiple of 424,768,494 with GCF Formula

Least Common Multiple of 424,768,494 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 424,768,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,768,494) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(424,768,494) x common factors =2 x 8 = 16

LCM(424,768,494) = ( 424 × 768 × 494 ) / 16

LCM(424,768,494) = 160862208 / 16

LCM(424,768,494) = 10053888


Lets's calculate GCF of 801,116,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10053888/1

Therefore the LCM of Fractions 424/801,768/116,494/917 is 10053888

Greatest Common Factor of 801,116,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,116,917 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 801,116,917 . The biggest common factor number is the GCF number.
So the greatest common factor 801,116,917 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 424/801, 768/116, 494/917

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 424/801, 768/116, 494/917?

Answer: LCM of Numerators as per given numbers 424/801, 768/116, 494/917 is

LCM of Numerators i.e. for 424,768,494 is 10053888

GCF of denominators i.e. for 801,116,917 is 1.

Thus, LCM of Fractions is 10053888.Finally, LCM of Fractions for 424/801, 768/116, 494/917 is 10053888.