Least Common Multiple of 61/27, 14/69, 54/23, 48/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/27, 14/69, 54/23, 48/905 quickly i.e. 184464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/27, 14/69, 54/23, 48/905 is 184464.

LCM(61/27, 14/69, 54/23, 48/905) = 184464

LCM of 61/27, 14/69, 54/23, 48/905

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 61/27,14/69,54/23,48/905

Given numbers are 61/27,14/69,54/23,48/905

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 61,14,54,48

Least Common Multiple of Numerators i.e. LCM of 61,14,54,48 is 184464.

GCF of Denominators means GCF of 27,69,23,905 as per the given fractions.

GCF of 27,69,23,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,14,54,48

LCM of Fractions 61/27,14/69,54/23,48/905 is 184464

2 61, 14, 54, 48
3 61, 7, 27, 24
61, 7, 9, 8

∴ So the LCM of the given numbers is 2 x 3 x 61 x 7 x 9 x 8 = 184464

Least Common Multiple of 61,14,54,48 with GCF Formula

Least Common Multiple of 61,14,54,48 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 61,14,54,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,14,54,48) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(61,14,54,48) x common factors =1 x 12 = 12

LCM(61,14,54,48) = ( 61 × 14 × 54 × 48 ) / 12

LCM(61,14,54,48) = 2213568 / 12

LCM(61,14,54,48) = 184464


Lets's calculate GCF of 27,69,23,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184464/1

Therefore the LCM of Fractions 61/27,14/69,54/23,48/905 is 184464

Greatest Common Factor of 27,69,23,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,69,23,905 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 27,69,23,905 . The biggest common factor number is the GCF number.
So the greatest common factor 27,69,23,905 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 61/27, 14/69, 54/23, 48/905

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 61/27, 14/69, 54/23, 48/905?

Answer: LCM of Numerators as per given numbers 61/27, 14/69, 54/23, 48/905 is

LCM of Numerators i.e. for 61,14,54,48 is 184464

GCF of denominators i.e. for 27,69,23,905 is 1.

Thus, LCM of Fractions is 184464.Finally, LCM of Fractions for 61/27, 14/69, 54/23, 48/905 is 184464.