Least Common Multiple of 54/369, 37/144, 886/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/369, 37/144, 886/828 quickly i.e. 98346 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, 37/144, 886/828 is 98346.

LCM(54/369, 37/144, 886/828) = 98346

LCM of 54/369, 37/144, 886/828

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 54/369,37/144,886/828

Given numbers are 54/369,37/144,886/828

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 54,37,886

Least Common Multiple of Numerators i.e. LCM of 54,37,886 is 885114.

GCF of Denominators means GCF of 369,144,828 as per the given fractions.

GCF of 369,144,828 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,37,886

LCM of Fractions 54/369,37/144,886/828 is 98346

2 54, 37, 886
27, 37, 443

∴ So the LCM of the given numbers is 2 x 27 x 37 x 443 = 885114

Least Common Multiple of 54,37,886 with GCF Formula

Least Common Multiple of 54,37,886 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 54,37,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,37,886) = 1

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

GCF(54,37,886) x common factors =1 x 2 = 2

LCM(54,37,886) = ( 54 × 37 × 886 ) / 2

LCM(54,37,886) = 1770228 / 2

LCM(54,37,886) = 885114


Lets's calculate GCF of 369,144,828

3 369, 144, 828
3 123, 48, 276
41, 16, 92

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 885114/9

Therefore the LCM of Fractions 54/369,37/144,886/828 is 98346

Greatest Common Factor of 369,144,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,144,828 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 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 369,144,828 . The biggest common factor number is the GCF number.
So the greatest common factor 369,144,828 is 9.


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, 37/144, 886/828

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, 37/144, 886/828?

Answer: LCM of Numerators as per given numbers 54/369, 37/144, 886/828 is

LCM of Numerators i.e. for 54,37,886 is 885114

GCF of denominators i.e. for 369,144,828 is 9.

Thus, LCM of Fractions is 98346.Finally, LCM of Fractions for 54/369, 37/144, 886/828 is 98346.