Least Common Multiple of 27/39, 74/32, 906/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/39, 74/32, 906/924 quickly i.e. 301698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/39, 74/32, 906/924 is 301698.

LCM(27/39, 74/32, 906/924) = 301698

LCM of 27/39, 74/32, 906/924

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 27/39,74/32,906/924

Given numbers are 27/39,74/32,906/924

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 27,74,906

Least Common Multiple of Numerators i.e. LCM of 27,74,906 is 301698.

GCF of Denominators means GCF of 39,32,924 as per the given fractions.

GCF of 39,32,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,74,906

LCM of Fractions 27/39,74/32,906/924 is 301698

2 27, 74, 906
3 27, 37, 453
9, 37, 151

∴ So the LCM of the given numbers is 2 x 3 x 9 x 37 x 151 = 301698

Least Common Multiple of 27,74,906 with GCF Formula

Least Common Multiple of 27,74,906 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 27,74,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,74,906) = 1

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

GCF(27,74,906) x common factors =1 x 6 = 6

LCM(27,74,906) = ( 27 × 74 × 906 ) / 6

LCM(27,74,906) = 1810188 / 6

LCM(27,74,906) = 301698


Lets's calculate GCF of 39,32,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301698/1

Therefore the LCM of Fractions 27/39,74/32,906/924 is 301698

Greatest Common Factor of 39,32,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,32,924 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 39,32,924 . The biggest common factor number is the GCF number.
So the greatest common factor 39,32,924 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 27/39, 74/32, 906/924

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 27/39, 74/32, 906/924?

Answer: LCM of Numerators as per given numbers 27/39, 74/32, 906/924 is

LCM of Numerators i.e. for 27,74,906 is 301698

GCF of denominators i.e. for 39,32,924 is 1.

Thus, LCM of Fractions is 301698.Finally, LCM of Fractions for 27/39, 74/32, 906/924 is 301698.