Least Common Multiple of 27/74, 25/89, 27/60, 51/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/74, 25/89, 27/60, 51/955 quickly i.e. 11475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/74, 25/89, 27/60, 51/955 is 11475.

LCM(27/74, 25/89, 27/60, 51/955) = 11475

LCM of 27/74, 25/89, 27/60, 51/955

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 27/74,25/89,27/60,51/955

Given numbers are 27/74,25/89,27/60,51/955

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 27,25,27,51

Least Common Multiple of Numerators i.e. LCM of 27,25,27,51 is 11475.

GCF of Denominators means GCF of 74,89,60,955 as per the given fractions.

GCF of 74,89,60,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,25,27,51

LCM of Fractions 27/74,25/89,27/60,51/955 is 11475

3 27, 25, 27, 51
3 9, 25, 9, 17
3 3, 25, 3, 17
1, 25, 1, 17

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 25 x 1 x 17 = 11475

Least Common Multiple of 27,25,27,51 with GCF Formula

Least Common Multiple of 27,25,27,51 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 27,25,27,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,25,27,51) = 1

common factors(in case of two or more numbers have common factors) = 81

GCF(27,25,27,51) x common factors =1 x 81 = 81

LCM(27,25,27,51) = ( 27 × 25 × 27 × 51 ) / 81

LCM(27,25,27,51) = 929475 / 81

LCM(27,25,27,51) = 11475


Lets's calculate GCF of 74,89,60,955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11475/1

Therefore the LCM of Fractions 27/74,25/89,27/60,51/955 is 11475

Greatest Common Factor of 74,89,60,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,89,60,955 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 74,89,60,955 . The biggest common factor number is the GCF number.
So the greatest common factor 74,89,60,955 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 27/74, 25/89, 27/60, 51/955

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 27/74, 25/89, 27/60, 51/955?

Answer: LCM of Numerators as per given numbers 27/74, 25/89, 27/60, 51/955 is

LCM of Numerators i.e. for 27,25,27,51 is 11475

GCF of denominators i.e. for 74,89,60,955 is 1.

Thus, LCM of Fractions is 11475.Finally, LCM of Fractions for 27/74, 25/89, 27/60, 51/955 is 11475.