Least Common Multiple of 82/66, 96/121, 492/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/66, 96/121, 492/289 quickly i.e. 3936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/66, 96/121, 492/289 is 3936.

LCM(82/66, 96/121, 492/289) = 3936

LCM of 82/66, 96/121, 492/289

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 82/66,96/121,492/289

Given numbers are 82/66,96/121,492/289

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 82,96,492

Least Common Multiple of Numerators i.e. LCM of 82,96,492 is 3936.

GCF of Denominators means GCF of 66,121,289 as per the given fractions.

GCF of 66,121,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,96,492

LCM of Fractions 82/66,96/121,492/289 is 3936

2 82, 96, 492
2 41, 48, 246
3 41, 24, 123
41 41, 8, 41
1, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 1 x 8 x 1 = 3936

Least Common Multiple of 82,96,492 with GCF Formula

Least Common Multiple of 82,96,492 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 82,96,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,96,492) = 2

common factors(in case of two or more numbers have common factors) = 492

GCF(82,96,492) x common factors =2 x 492 = 984

LCM(82,96,492) = ( 82 × 96 × 492 ) / 984

LCM(82,96,492) = 3873024 / 984

LCM(82,96,492) = 3936


Lets's calculate GCF of 66,121,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3936/1

Therefore the LCM of Fractions 82/66,96/121,492/289 is 3936

Greatest Common Factor of 66,121,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,121,289 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 66,121,289 . The biggest common factor number is the GCF number.
So the greatest common factor 66,121,289 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 82/66, 96/121, 492/289

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 82/66, 96/121, 492/289?

Answer: LCM of Numerators as per given numbers 82/66, 96/121, 492/289 is

LCM of Numerators i.e. for 82,96,492 is 3936

GCF of denominators i.e. for 66,121,289 is 1.

Thus, LCM of Fractions is 3936.Finally, LCM of Fractions for 82/66, 96/121, 492/289 is 3936.