Least Common Multiple of 27/96, 66/60, 30/84, 74/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/96, 66/60, 30/84, 74/157 quickly i.e. 109890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/96, 66/60, 30/84, 74/157 is 109890.

LCM(27/96, 66/60, 30/84, 74/157) = 109890

LCM of 27/96, 66/60, 30/84, 74/157

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 27/96,66/60,30/84,74/157

Given numbers are 27/96,66/60,30/84,74/157

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 27,66,30,74

Least Common Multiple of Numerators i.e. LCM of 27,66,30,74 is 109890.

GCF of Denominators means GCF of 96,60,84,157 as per the given fractions.

GCF of 96,60,84,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,66,30,74

LCM of Fractions 27/96,66/60,30/84,74/157 is 109890

2 27, 66, 30, 74
3 27, 33, 15, 37
9, 11, 5, 37

∴ So the LCM of the given numbers is 2 x 3 x 9 x 11 x 5 x 37 = 109890

Least Common Multiple of 27,66,30,74 with GCF Formula

Least Common Multiple of 27,66,30,74 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 27,66,30,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,66,30,74) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(27,66,30,74) x common factors =1 x 36 = 36

LCM(27,66,30,74) = ( 27 × 66 × 30 × 74 ) / 36

LCM(27,66,30,74) = 3956040 / 36

LCM(27,66,30,74) = 109890


Lets's calculate GCF of 96,60,84,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109890/1

Therefore the LCM of Fractions 27/96,66/60,30/84,74/157 is 109890

Greatest Common Factor of 96,60,84,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,60,84,157 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 96,60,84,157 . The biggest common factor number is the GCF number.
So the greatest common factor 96,60,84,157 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 27/96, 66/60, 30/84, 74/157

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 27/96, 66/60, 30/84, 74/157?

Answer: LCM of Numerators as per given numbers 27/96, 66/60, 30/84, 74/157 is

LCM of Numerators i.e. for 27,66,30,74 is 109890

GCF of denominators i.e. for 96,60,84,157 is 1.

Thus, LCM of Fractions is 109890.Finally, LCM of Fractions for 27/96, 66/60, 30/84, 74/157 is 109890.