Least Common Multiple of 82/28, 36/671, 328/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/28, 36/671, 328/194 quickly i.e. 2952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/28, 36/671, 328/194 is 2952.

LCM(82/28, 36/671, 328/194) = 2952

LCM of 82/28, 36/671, 328/194

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 82/28,36/671,328/194

Given numbers are 82/28,36/671,328/194

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 82,36,328

Least Common Multiple of Numerators i.e. LCM of 82,36,328 is 2952.

GCF of Denominators means GCF of 28,671,194 as per the given fractions.

GCF of 28,671,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,36,328

LCM of Fractions 82/28,36/671,328/194 is 2952

2 82, 36, 328
2 41, 18, 164
41 41, 9, 82
1, 9, 2

∴ So the LCM of the given numbers is 2 x 2 x 41 x 1 x 9 x 2 = 2952

Least Common Multiple of 82,36,328 with GCF Formula

Least Common Multiple of 82,36,328 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 82,36,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,36,328) = 2

common factors(in case of two or more numbers have common factors) = 164

GCF(82,36,328) x common factors =2 x 164 = 328

LCM(82,36,328) = ( 82 × 36 × 328 ) / 328

LCM(82,36,328) = 968256 / 328

LCM(82,36,328) = 2952


Lets's calculate GCF of 28,671,194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2952/1

Therefore the LCM of Fractions 82/28,36/671,328/194 is 2952

Greatest Common Factor of 28,671,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,671,194 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 28,671,194 . The biggest common factor number is the GCF number.
So the greatest common factor 28,671,194 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 82/28, 36/671, 328/194

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 82/28, 36/671, 328/194?

Answer: LCM of Numerators as per given numbers 82/28, 36/671, 328/194 is

LCM of Numerators i.e. for 82,36,328 is 2952

GCF of denominators i.e. for 28,671,194 is 1.

Thus, LCM of Fractions is 2952.Finally, LCM of Fractions for 82/28, 36/671, 328/194 is 2952.