Least Common Multiple of 82/173, 76/460, 332/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/173, 76/460, 332/228 quickly i.e. 258628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/173, 76/460, 332/228 is 258628.

LCM(82/173, 76/460, 332/228) = 258628

LCM of 82/173, 76/460, 332/228

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 82/173,76/460,332/228

Given numbers are 82/173,76/460,332/228

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 82,76,332

Least Common Multiple of Numerators i.e. LCM of 82,76,332 is 258628.

GCF of Denominators means GCF of 173,460,228 as per the given fractions.

GCF of 173,460,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,76,332

LCM of Fractions 82/173,76/460,332/228 is 258628

2 82, 76, 332
2 41, 38, 166
41, 19, 83

∴ So the LCM of the given numbers is 2 x 2 x 41 x 19 x 83 = 258628

Least Common Multiple of 82,76,332 with GCF Formula

Least Common Multiple of 82,76,332 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 82,76,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,76,332) = 2

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

GCF(82,76,332) x common factors =2 x 4 = 8

LCM(82,76,332) = ( 82 × 76 × 332 ) / 8

LCM(82,76,332) = 2069024 / 8

LCM(82,76,332) = 258628


Lets's calculate GCF of 173,460,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258628/1

Therefore the LCM of Fractions 82/173,76/460,332/228 is 258628

Greatest Common Factor of 173,460,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,460,228 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 173,460,228 . The biggest common factor number is the GCF number.
So the greatest common factor 173,460,228 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 82/173, 76/460, 332/228

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 82/173, 76/460, 332/228?

Answer: LCM of Numerators as per given numbers 82/173, 76/460, 332/228 is

LCM of Numerators i.e. for 82,76,332 is 258628

GCF of denominators i.e. for 173,460,228 is 1.

Thus, LCM of Fractions is 258628.Finally, LCM of Fractions for 82/173, 76/460, 332/228 is 258628.