Least Common Multiple of 82/655, 282/346, 117/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/655, 282/346, 117/181 quickly i.e. 450918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/655, 282/346, 117/181 is 450918.

LCM(82/655, 282/346, 117/181) = 450918

LCM of 82/655, 282/346, 117/181

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 82/655,282/346,117/181

Given numbers are 82/655,282/346,117/181

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 82,282,117

Least Common Multiple of Numerators i.e. LCM of 82,282,117 is 450918.

GCF of Denominators means GCF of 655,346,181 as per the given fractions.

GCF of 655,346,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,282,117

LCM of Fractions 82/655,282/346,117/181 is 450918

2 82, 282, 117
3 41, 141, 117
41, 47, 39

∴ So the LCM of the given numbers is 2 x 3 x 41 x 47 x 39 = 450918

Least Common Multiple of 82,282,117 with GCF Formula

Least Common Multiple of 82,282,117 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 82,282,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,282,117) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(82,282,117) x common factors =1 x 6 = 6

LCM(82,282,117) = ( 82 × 282 × 117 ) / 6

LCM(82,282,117) = 2705508 / 6

LCM(82,282,117) = 450918


Lets's calculate GCF of 655,346,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450918/1

Therefore the LCM of Fractions 82/655,282/346,117/181 is 450918

Greatest Common Factor of 655,346,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,346,181 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 655,346,181 . The biggest common factor number is the GCF number.
So the greatest common factor 655,346,181 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 82/655, 282/346, 117/181

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 82/655, 282/346, 117/181?

Answer: LCM of Numerators as per given numbers 82/655, 282/346, 117/181 is

LCM of Numerators i.e. for 82,282,117 is 450918

GCF of denominators i.e. for 655,346,181 is 1.

Thus, LCM of Fractions is 450918.Finally, LCM of Fractions for 82/655, 282/346, 117/181 is 450918.