Least Common Multiple of 863/742, 346/940, 160/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 863/742, 346/940, 160/854 quickly i.e. 11943920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 863/742, 346/940, 160/854 is 11943920.

LCM(863/742, 346/940, 160/854) = 11943920

LCM of 863/742, 346/940, 160/854

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 863/742,346/940,160/854

Given numbers are 863/742,346/940,160/854

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 863,346,160

Least Common Multiple of Numerators i.e. LCM of 863,346,160 is 23887840.

GCF of Denominators means GCF of 742,940,854 as per the given fractions.

GCF of 742,940,854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 863,346,160

LCM of Fractions 863/742,346/940,160/854 is 11943920

2 863, 346, 160
863, 173, 80

∴ So the LCM of the given numbers is 2 x 863 x 173 x 80 = 23887840

Least Common Multiple of 863,346,160 with GCF Formula

Least Common Multiple of 863,346,160 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 863,346,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,346,160) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(863,346,160) x common factors =1 x 2 = 2

LCM(863,346,160) = ( 863 × 346 × 160 ) / 2

LCM(863,346,160) = 47775680 / 2

LCM(863,346,160) = 23887840


Lets's calculate GCF of 742,940,854

2 742, 940, 854
371, 470, 427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23887840/2

Therefore the LCM of Fractions 863/742,346/940,160/854 is 11943920

Greatest Common Factor of 742,940,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,940,854 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 742,940,854 . The biggest common factor number is the GCF number.
So the greatest common factor 742,940,854 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 863/742, 346/940, 160/854

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 863/742, 346/940, 160/854?

Answer: LCM of Numerators as per given numbers 863/742, 346/940, 160/854 is

LCM of Numerators i.e. for 863,346,160 is 23887840

GCF of denominators i.e. for 742,940,854 is 2.

Thus, LCM of Fractions is 11943920.Finally, LCM of Fractions for 863/742, 346/940, 160/854 is 11943920.