Least Common Multiple of 27/51, 12/75, 23/95, 67/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/51, 12/75, 23/95, 67/158 quickly i.e. 166428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/51, 12/75, 23/95, 67/158 is 166428.

LCM(27/51, 12/75, 23/95, 67/158) = 166428

LCM of 27/51, 12/75, 23/95, 67/158

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 27/51,12/75,23/95,67/158

Given numbers are 27/51,12/75,23/95,67/158

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 27,12,23,67

Least Common Multiple of Numerators i.e. LCM of 27,12,23,67 is 166428.

GCF of Denominators means GCF of 51,75,95,158 as per the given fractions.

GCF of 51,75,95,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,12,23,67

LCM of Fractions 27/51,12/75,23/95,67/158 is 166428

3 27, 12, 23, 67
9, 4, 23, 67

∴ So the LCM of the given numbers is 3 x 9 x 4 x 23 x 67 = 166428

Least Common Multiple of 27,12,23,67 with GCF Formula

Least Common Multiple of 27,12,23,67 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 27,12,23,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,12,23,67) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,12,23,67) x common factors =1 x 3 = 3

LCM(27,12,23,67) = ( 27 × 12 × 23 × 67 ) / 3

LCM(27,12,23,67) = 499284 / 3

LCM(27,12,23,67) = 166428


Lets's calculate GCF of 51,75,95,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166428/1

Therefore the LCM of Fractions 27/51,12/75,23/95,67/158 is 166428

Greatest Common Factor of 51,75,95,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,75,95,158 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 51,75,95,158 . The biggest common factor number is the GCF number.
So the greatest common factor 51,75,95,158 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 27/51, 12/75, 23/95, 67/158

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 27/51, 12/75, 23/95, 67/158?

Answer: LCM of Numerators as per given numbers 27/51, 12/75, 23/95, 67/158 is

LCM of Numerators i.e. for 27,12,23,67 is 166428

GCF of denominators i.e. for 51,75,95,158 is 1.

Thus, LCM of Fractions is 166428.Finally, LCM of Fractions for 27/51, 12/75, 23/95, 67/158 is 166428.