Least Common Multiple of 81/95, 38/79, 89/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/95, 38/79, 89/916 quickly i.e. 273942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/95, 38/79, 89/916 is 273942.

LCM(81/95, 38/79, 89/916) = 273942

LCM of 81/95, 38/79, 89/916

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 81/95,38/79,89/916

Given numbers are 81/95,38/79,89/916

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 81,38,89

Least Common Multiple of Numerators i.e. LCM of 81,38,89 is 273942.

GCF of Denominators means GCF of 95,79,916 as per the given fractions.

GCF of 95,79,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,38,89

LCM of Fractions 81/95,38/79,89/916 is 273942

Given numbers has no common factors except 1. So, there LCM is their product i.e 273942

Least Common Multiple of 81,38,89 with GCF Formula

Least Common Multiple of 81,38,89 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 81,38,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,38,89) = 1

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

GCF(81,38,89) x common factors =1 x 1 = 1

LCM(81,38,89) = ( 81 × 38 × 89 ) / 1

LCM(81,38,89) = 273942 / 1

LCM(81,38,89) = 273942


Lets's calculate GCF of 95,79,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273942/1

Therefore the LCM of Fractions 81/95,38/79,89/916 is 273942

Greatest Common Factor of 95,79,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,79,916 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 95,79,916 . The biggest common factor number is the GCF number.
So the greatest common factor 95,79,916 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 81/95, 38/79, 89/916

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 81/95, 38/79, 89/916?

Answer: LCM of Numerators as per given numbers 81/95, 38/79, 89/916 is

LCM of Numerators i.e. for 81,38,89 is 273942

GCF of denominators i.e. for 95,79,916 is 1.

Thus, LCM of Fractions is 273942.Finally, LCM of Fractions for 81/95, 38/79, 89/916 is 273942.