Least Common Multiple of 27/158, 27/608, 614/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/158, 27/608, 614/938 quickly i.e. 8289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/158, 27/608, 614/938 is 8289.

LCM(27/158, 27/608, 614/938) = 8289

LCM of 27/158, 27/608, 614/938

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 27/158,27/608,614/938

Given numbers are 27/158,27/608,614/938

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 27,27,614

Least Common Multiple of Numerators i.e. LCM of 27,27,614 is 16578.

GCF of Denominators means GCF of 158,608,938 as per the given fractions.

GCF of 158,608,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,27,614

LCM of Fractions 27/158,27/608,614/938 is 8289

3 27, 27, 614
3 9, 9, 614
3 3, 3, 614
1, 1, 614

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 1 x 614 = 16578

Least Common Multiple of 27,27,614 with GCF Formula

Least Common Multiple of 27,27,614 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 27,27,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,27,614) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(27,27,614) x common factors =1 x 27 = 27

LCM(27,27,614) = ( 27 × 27 × 614 ) / 27

LCM(27,27,614) = 447606 / 27

LCM(27,27,614) = 16578


Lets's calculate GCF of 158,608,938

2 158, 608, 938
79, 304, 469

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16578/2

Therefore the LCM of Fractions 27/158,27/608,614/938 is 8289

Greatest Common Factor of 158,608,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,608,938 By Matching Biggest Common Factor Method

Factors of 158

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

1,2,79,158

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 158,608,938 . The biggest common factor number is the GCF number.
So the greatest common factor 158,608,938 is 2.


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 27/158, 27/608, 614/938

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 27/158, 27/608, 614/938?

Answer: LCM of Numerators as per given numbers 27/158, 27/608, 614/938 is

LCM of Numerators i.e. for 27,27,614 is 16578

GCF of denominators i.e. for 158,608,938 is 2.

Thus, LCM of Fractions is 8289.Finally, LCM of Fractions for 27/158, 27/608, 614/938 is 8289.