Least Common Multiple of 31/636, 74/164, 530/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/636, 74/164, 530/189 quickly i.e. 607910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/636, 74/164, 530/189 is 607910.

LCM(31/636, 74/164, 530/189) = 607910

LCM of 31/636, 74/164, 530/189

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 31/636,74/164,530/189

Given numbers are 31/636,74/164,530/189

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 31,74,530

Least Common Multiple of Numerators i.e. LCM of 31,74,530 is 607910.

GCF of Denominators means GCF of 636,164,189 as per the given fractions.

GCF of 636,164,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,74,530

LCM of Fractions 31/636,74/164,530/189 is 607910

2 31, 74, 530
31, 37, 265

∴ So the LCM of the given numbers is 2 x 31 x 37 x 265 = 607910

Least Common Multiple of 31,74,530 with GCF Formula

Least Common Multiple of 31,74,530 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 31,74,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,74,530) = 1

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

GCF(31,74,530) x common factors =1 x 2 = 2

LCM(31,74,530) = ( 31 × 74 × 530 ) / 2

LCM(31,74,530) = 1215820 / 2

LCM(31,74,530) = 607910


Lets's calculate GCF of 636,164,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607910/1

Therefore the LCM of Fractions 31/636,74/164,530/189 is 607910

Greatest Common Factor of 636,164,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,164,189 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 636,164,189 . The biggest common factor number is the GCF number.
So the greatest common factor 636,164,189 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 31/636, 74/164, 530/189

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 31/636, 74/164, 530/189?

Answer: LCM of Numerators as per given numbers 31/636, 74/164, 530/189 is

LCM of Numerators i.e. for 31,74,530 is 607910

GCF of denominators i.e. for 636,164,189 is 1.

Thus, LCM of Fractions is 607910.Finally, LCM of Fractions for 31/636, 74/164, 530/189 is 607910.