Least Common Multiple of 764/81, 632/96, 943/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/81, 632/96, 943/942 quickly i.e. 113831416/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/81, 632/96, 943/942 is 113831416/3.

LCM(764/81, 632/96, 943/942) = 113831416/3

LCM of 764/81, 632/96, 943/942

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 764/81,632/96,943/942

Given numbers are 764/81,632/96,943/942

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 764,632,943

Least Common Multiple of Numerators i.e. LCM of 764,632,943 is 113831416.

GCF of Denominators means GCF of 81,96,942 as per the given fractions.

GCF of 81,96,942 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,632,943

LCM of Fractions 764/81,632/96,943/942 is 113831416/3

2 764, 632, 943
2 382, 316, 943
191, 158, 943

∴ So the LCM of the given numbers is 2 x 2 x 191 x 158 x 943 = 113831416

Least Common Multiple of 764,632,943 with GCF Formula

Least Common Multiple of 764,632,943 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 764,632,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,632,943) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(764,632,943) x common factors =1 x 4 = 4

LCM(764,632,943) = ( 764 × 632 × 943 ) / 4

LCM(764,632,943) = 455325664 / 4

LCM(764,632,943) = 113831416


Lets's calculate GCF of 81,96,942

3 81, 96, 942
27, 32, 314

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113831416/3

Therefore the LCM of Fractions 764/81,632/96,943/942 is 113831416/3

Greatest Common Factor of 81,96,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,96,942 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 81,96,942 . The biggest common factor number is the GCF number.
So the greatest common factor 81,96,942 is 3.


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 764/81, 632/96, 943/942

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 764/81, 632/96, 943/942?

Answer: LCM of Numerators as per given numbers 764/81, 632/96, 943/942 is

LCM of Numerators i.e. for 764,632,943 is 113831416

GCF of denominators i.e. for 81,96,942 is 3.

Thus, LCM of Fractions is 113831416/3.Finally, LCM of Fractions for 764/81, 632/96, 943/942 is 113831416/3.