Least Common Multiple of 646/135, 6171/5407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/135, 6171/5407 quickly i.e. 234498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/135, 6171/5407 is 234498.

LCM(646/135, 6171/5407) = 234498

LCM of 646/135, 6171/5407

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 646/135,6171/5407

Given numbers are 646/135,6171/5407

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 646,6171

Least Common Multiple of Numerators i.e. LCM of 646,6171 is 234498.

GCF of Denominators means GCF of 135,5407 as per the given fractions.

GCF of 135,5407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,6171

LCM of Fractions 646/135,6171/5407 is 234498

17 646, 6171
38, 363

∴ So the LCM of the given numbers is 17 x 38 x 363 = 234498

Least Common Multiple of 646,6171 with GCF Formula

Least Common Multiple of 646,6171 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 646,6171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,6171) = 17

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

GCF(646,6171) x common factors =17 x 1 = 17

LCM(646,6171) = ( 646 × 6171 ) / 17

LCM(646,6171) = 3986466 / 17

LCM(646,6171) = 234498


Lets's calculate GCF of 135,5407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234498/1

Therefore the LCM of Fractions 646/135,6171/5407 is 234498

Greatest Common Factor of 135,5407 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,5407 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 5407

List of positive integer factors of 5407 that divides 5407 without a remainder.

1,5407

Greatest Common Factor

We found the factors 135,5407 . The biggest common factor number is the GCF number.
So the greatest common factor 135,5407 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 646/135, 6171/5407

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 646/135, 6171/5407?

Answer: LCM of Numerators as per given numbers 646/135, 6171/5407 is

LCM of Numerators i.e. for 646,6171 is 234498

GCF of denominators i.e. for 135,5407 is 1.

Thus, LCM of Fractions is 234498.Finally, LCM of Fractions for 646/135, 6171/5407 is 234498.