Least Common Multiple of 776/89, 796/24, 139/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 776/89, 796/24, 139/171 quickly i.e. 21464936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 776/89, 796/24, 139/171 is 21464936.

LCM(776/89, 796/24, 139/171) = 21464936

LCM of 776/89, 796/24, 139/171

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 776/89,796/24,139/171

Given numbers are 776/89,796/24,139/171

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 776,796,139

Least Common Multiple of Numerators i.e. LCM of 776,796,139 is 21464936.

GCF of Denominators means GCF of 89,24,171 as per the given fractions.

GCF of 89,24,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 776,796,139

LCM of Fractions 776/89,796/24,139/171 is 21464936

2 776, 796, 139
2 388, 398, 139
194, 199, 139

∴ So the LCM of the given numbers is 2 x 2 x 194 x 199 x 139 = 21464936

Least Common Multiple of 776,796,139 with GCF Formula

Least Common Multiple of 776,796,139 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 776,796,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,796,139) = 1

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

GCF(776,796,139) x common factors =1 x 4 = 4

LCM(776,796,139) = ( 776 × 796 × 139 ) / 4

LCM(776,796,139) = 85859744 / 4

LCM(776,796,139) = 21464936


Lets's calculate GCF of 89,24,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21464936/1

Therefore the LCM of Fractions 776/89,796/24,139/171 is 21464936

Greatest Common Factor of 89,24,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,24,171 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 89,24,171 . The biggest common factor number is the GCF number.
So the greatest common factor 89,24,171 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 776/89, 796/24, 139/171

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 776/89, 796/24, 139/171?

Answer: LCM of Numerators as per given numbers 776/89, 796/24, 139/171 is

LCM of Numerators i.e. for 776,796,139 is 21464936

GCF of denominators i.e. for 89,24,171 is 1.

Thus, LCM of Fractions is 21464936.Finally, LCM of Fractions for 776/89, 796/24, 139/171 is 21464936.