Least Common Multiple of 82/92, 133/74, 204/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/92, 133/74, 204/627 quickly i.e. 1112412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/92, 133/74, 204/627 is 1112412.

LCM(82/92, 133/74, 204/627) = 1112412

LCM of 82/92, 133/74, 204/627

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 82/92,133/74,204/627

Given numbers are 82/92,133/74,204/627

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 82,133,204

Least Common Multiple of Numerators i.e. LCM of 82,133,204 is 1112412.

GCF of Denominators means GCF of 92,74,627 as per the given fractions.

GCF of 92,74,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,133,204

LCM of Fractions 82/92,133/74,204/627 is 1112412

2 82, 133, 204
41, 133, 102

∴ So the LCM of the given numbers is 2 x 41 x 133 x 102 = 1112412

Least Common Multiple of 82,133,204 with GCF Formula

Least Common Multiple of 82,133,204 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 82,133,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,133,204) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,133,204) x common factors =1 x 2 = 2

LCM(82,133,204) = ( 82 × 133 × 204 ) / 2

LCM(82,133,204) = 2224824 / 2

LCM(82,133,204) = 1112412


Lets's calculate GCF of 92,74,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1112412/1

Therefore the LCM of Fractions 82/92,133/74,204/627 is 1112412

Greatest Common Factor of 92,74,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,74,627 By Matching Biggest Common Factor Method

Factors of 92

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

1,2,4,23,46,92

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 92,74,627 . The biggest common factor number is the GCF number.
So the greatest common factor 92,74,627 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 82/92, 133/74, 204/627

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 82/92, 133/74, 204/627?

Answer: LCM of Numerators as per given numbers 82/92, 133/74, 204/627 is

LCM of Numerators i.e. for 82,133,204 is 1112412

GCF of denominators i.e. for 92,74,627 is 1.

Thus, LCM of Fractions is 1112412.Finally, LCM of Fractions for 82/92, 133/74, 204/627 is 1112412.