Least Common Multiple of 39/216, 64/354, 906/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/216, 64/354, 906/269 quickly i.e. 376896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/216, 64/354, 906/269 is 376896.

LCM(39/216, 64/354, 906/269) = 376896

LCM of 39/216, 64/354, 906/269

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 39/216,64/354,906/269

Given numbers are 39/216,64/354,906/269

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 39,64,906

Least Common Multiple of Numerators i.e. LCM of 39,64,906 is 376896.

GCF of Denominators means GCF of 216,354,269 as per the given fractions.

GCF of 216,354,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,64,906

LCM of Fractions 39/216,64/354,906/269 is 376896

2 39, 64, 906
3 39, 32, 453
13, 32, 151

∴ So the LCM of the given numbers is 2 x 3 x 13 x 32 x 151 = 376896

Least Common Multiple of 39,64,906 with GCF Formula

Least Common Multiple of 39,64,906 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 39,64,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,64,906) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(39,64,906) x common factors =1 x 6 = 6

LCM(39,64,906) = ( 39 × 64 × 906 ) / 6

LCM(39,64,906) = 2261376 / 6

LCM(39,64,906) = 376896


Lets's calculate GCF of 216,354,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376896/1

Therefore the LCM of Fractions 39/216,64/354,906/269 is 376896

Greatest Common Factor of 216,354,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,354,269 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 216,354,269 . The biggest common factor number is the GCF number.
So the greatest common factor 216,354,269 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 39/216, 64/354, 906/269

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 39/216, 64/354, 906/269?

Answer: LCM of Numerators as per given numbers 39/216, 64/354, 906/269 is

LCM of Numerators i.e. for 39,64,906 is 376896

GCF of denominators i.e. for 216,354,269 is 1.

Thus, LCM of Fractions is 376896.Finally, LCM of Fractions for 39/216, 64/354, 906/269 is 376896.