Least Common Multiple of 27/61, 51/47, 14/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/61, 51/47, 14/164 quickly i.e. 6426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/61, 51/47, 14/164 is 6426.

LCM(27/61, 51/47, 14/164) = 6426

LCM of 27/61, 51/47, 14/164

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 27/61,51/47,14/164

Given numbers are 27/61,51/47,14/164

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 27,51,14

Least Common Multiple of Numerators i.e. LCM of 27,51,14 is 6426.

GCF of Denominators means GCF of 61,47,164 as per the given fractions.

GCF of 61,47,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,51,14

LCM of Fractions 27/61,51/47,14/164 is 6426

3 27, 51, 14
9, 17, 14

∴ So the LCM of the given numbers is 3 x 9 x 17 x 14 = 6426

Least Common Multiple of 27,51,14 with GCF Formula

Least Common Multiple of 27,51,14 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 27,51,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,51,14) = 1

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

GCF(27,51,14) x common factors =1 x 3 = 3

LCM(27,51,14) = ( 27 × 51 × 14 ) / 3

LCM(27,51,14) = 19278 / 3

LCM(27,51,14) = 6426


Lets's calculate GCF of 61,47,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6426/1

Therefore the LCM of Fractions 27/61,51/47,14/164 is 6426

Greatest Common Factor of 61,47,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,47,164 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 61,47,164 . The biggest common factor number is the GCF number.
So the greatest common factor 61,47,164 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 27/61, 51/47, 14/164

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 27/61, 51/47, 14/164?

Answer: LCM of Numerators as per given numbers 27/61, 51/47, 14/164 is

LCM of Numerators i.e. for 27,51,14 is 6426

GCF of denominators i.e. for 61,47,164 is 1.

Thus, LCM of Fractions is 6426.Finally, LCM of Fractions for 27/61, 51/47, 14/164 is 6426.