Least Common Multiple of 27/46, 107/35, 149/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/46, 107/35, 149/108 quickly i.e. 430461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/46, 107/35, 149/108 is 430461.

LCM(27/46, 107/35, 149/108) = 430461

LCM of 27/46, 107/35, 149/108

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 27/46,107/35,149/108

Given numbers are 27/46,107/35,149/108

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 27,107,149

Least Common Multiple of Numerators i.e. LCM of 27,107,149 is 430461.

GCF of Denominators means GCF of 46,35,108 as per the given fractions.

GCF of 46,35,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,107,149

LCM of Fractions 27/46,107/35,149/108 is 430461

Given numbers has no common factors except 1. So, there LCM is their product i.e 430461

Least Common Multiple of 27,107,149 with GCF Formula

Least Common Multiple of 27,107,149 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 27,107,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,107,149) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(27,107,149) x common factors =1 x 1 = 1

LCM(27,107,149) = ( 27 × 107 × 149 ) / 1

LCM(27,107,149) = 430461 / 1

LCM(27,107,149) = 430461


Lets's calculate GCF of 46,35,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430461/1

Therefore the LCM of Fractions 27/46,107/35,149/108 is 430461

Greatest Common Factor of 46,35,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,35,108 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 46,35,108 . The biggest common factor number is the GCF number.
So the greatest common factor 46,35,108 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 27/46, 107/35, 149/108

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 27/46, 107/35, 149/108?

Answer: LCM of Numerators as per given numbers 27/46, 107/35, 149/108 is

LCM of Numerators i.e. for 27,107,149 is 430461

GCF of denominators i.e. for 46,35,108 is 1.

Thus, LCM of Fractions is 430461.Finally, LCM of Fractions for 27/46, 107/35, 149/108 is 430461.