Least Common Multiple of 54/369, 795/638, 227/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/369, 795/638, 227/169 quickly i.e. 3248370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/369, 795/638, 227/169 is 3248370.

LCM(54/369, 795/638, 227/169) = 3248370

LCM of 54/369, 795/638, 227/169

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 54/369,795/638,227/169

Given numbers are 54/369,795/638,227/169

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 54,795,227

Least Common Multiple of Numerators i.e. LCM of 54,795,227 is 3248370.

GCF of Denominators means GCF of 369,638,169 as per the given fractions.

GCF of 369,638,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,795,227

LCM of Fractions 54/369,795/638,227/169 is 3248370

3 54, 795, 227
18, 265, 227

∴ So the LCM of the given numbers is 3 x 18 x 265 x 227 = 3248370

Least Common Multiple of 54,795,227 with GCF Formula

Least Common Multiple of 54,795,227 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 54,795,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,795,227) = 1

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

GCF(54,795,227) x common factors =1 x 3 = 3

LCM(54,795,227) = ( 54 × 795 × 227 ) / 3

LCM(54,795,227) = 9745110 / 3

LCM(54,795,227) = 3248370


Lets's calculate GCF of 369,638,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3248370/1

Therefore the LCM of Fractions 54/369,795/638,227/169 is 3248370

Greatest Common Factor of 369,638,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,638,169 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 369,638,169 . The biggest common factor number is the GCF number.
So the greatest common factor 369,638,169 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 54/369, 795/638, 227/169

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 54/369, 795/638, 227/169?

Answer: LCM of Numerators as per given numbers 54/369, 795/638, 227/169 is

LCM of Numerators i.e. for 54,795,227 is 3248370

GCF of denominators i.e. for 369,638,169 is 1.

Thus, LCM of Fractions is 3248370.Finally, LCM of Fractions for 54/369, 795/638, 227/169 is 3248370.