Least Common Multiple of 538/420, 549/383, 177/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/420, 549/383, 177/324 quickly i.e. 17426358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/420, 549/383, 177/324 is 17426358.

LCM(538/420, 549/383, 177/324) = 17426358

LCM of 538/420, 549/383, 177/324

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 538/420,549/383,177/324

Given numbers are 538/420,549/383,177/324

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 538,549,177

Least Common Multiple of Numerators i.e. LCM of 538,549,177 is 17426358.

GCF of Denominators means GCF of 420,383,324 as per the given fractions.

GCF of 420,383,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,549,177

LCM of Fractions 538/420,549/383,177/324 is 17426358

3 538, 549, 177
538, 183, 59

∴ So the LCM of the given numbers is 3 x 538 x 183 x 59 = 17426358

Least Common Multiple of 538,549,177 with GCF Formula

Least Common Multiple of 538,549,177 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 538,549,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,549,177) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(538,549,177) x common factors =1 x 3 = 3

LCM(538,549,177) = ( 538 × 549 × 177 ) / 3

LCM(538,549,177) = 52279074 / 3

LCM(538,549,177) = 17426358


Lets's calculate GCF of 420,383,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17426358/1

Therefore the LCM of Fractions 538/420,549/383,177/324 is 17426358

Greatest Common Factor of 420,383,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,383,324 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 420,383,324 . The biggest common factor number is the GCF number.
So the greatest common factor 420,383,324 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 538/420, 549/383, 177/324

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 538/420, 549/383, 177/324?

Answer: LCM of Numerators as per given numbers 538/420, 549/383, 177/324 is

LCM of Numerators i.e. for 538,549,177 is 17426358

GCF of denominators i.e. for 420,383,324 is 1.

Thus, LCM of Fractions is 17426358.Finally, LCM of Fractions for 538/420, 549/383, 177/324 is 17426358.