Least Common Multiple of 82/95, 71/92, 793/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/95, 71/92, 793/966 quickly i.e. 4616846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/95, 71/92, 793/966 is 4616846.

LCM(82/95, 71/92, 793/966) = 4616846

LCM of 82/95, 71/92, 793/966

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 82/95,71/92,793/966

Given numbers are 82/95,71/92,793/966

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 82,71,793

Least Common Multiple of Numerators i.e. LCM of 82,71,793 is 4616846.

GCF of Denominators means GCF of 95,92,966 as per the given fractions.

GCF of 95,92,966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,71,793

LCM of Fractions 82/95,71/92,793/966 is 4616846

Given numbers has no common factors except 1. So, there LCM is their product i.e 4616846

Least Common Multiple of 82,71,793 with GCF Formula

Least Common Multiple of 82,71,793 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 82,71,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,71,793) = 1

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

GCF(82,71,793) x common factors =1 x 1 = 1

LCM(82,71,793) = ( 82 × 71 × 793 ) / 1

LCM(82,71,793) = 4616846 / 1

LCM(82,71,793) = 4616846


Lets's calculate GCF of 95,92,966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4616846/1

Therefore the LCM of Fractions 82/95,71/92,793/966 is 4616846

Greatest Common Factor of 95,92,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,92,966 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 95,92,966 . The biggest common factor number is the GCF number.
So the greatest common factor 95,92,966 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 82/95, 71/92, 793/966

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 82/95, 71/92, 793/966?

Answer: LCM of Numerators as per given numbers 82/95, 71/92, 793/966 is

LCM of Numerators i.e. for 82,71,793 is 4616846

GCF of denominators i.e. for 95,92,966 is 1.

Thus, LCM of Fractions is 4616846.Finally, LCM of Fractions for 82/95, 71/92, 793/966 is 4616846.