Least Common Multiple of 171/13, 342/39, 952/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/13, 342/39, 952/217 quickly i.e. 162792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/13, 342/39, 952/217 is 162792.

LCM(171/13, 342/39, 952/217) = 162792

LCM of 171/13, 342/39, 952/217

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 171/13,342/39,952/217

Given numbers are 171/13,342/39,952/217

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 171,342,952

Least Common Multiple of Numerators i.e. LCM of 171,342,952 is 162792.

GCF of Denominators means GCF of 13,39,217 as per the given fractions.

GCF of 13,39,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,342,952

LCM of Fractions 171/13,342/39,952/217 is 162792

2 171, 342, 952
3 171, 171, 476
3 57, 57, 476
19 19, 19, 476
1, 1, 476

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 1 x 1 x 476 = 162792

Least Common Multiple of 171,342,952 with GCF Formula

Least Common Multiple of 171,342,952 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 171,342,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,342,952) = 1

common factors(in case of two or more numbers have common factors) = 342

GCF(171,342,952) x common factors =1 x 342 = 342

LCM(171,342,952) = ( 171 × 342 × 952 ) / 342

LCM(171,342,952) = 55674864 / 342

LCM(171,342,952) = 162792


Lets's calculate GCF of 13,39,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162792/1

Therefore the LCM of Fractions 171/13,342/39,952/217 is 162792

Greatest Common Factor of 13,39,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,39,217 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 13,39,217 . The biggest common factor number is the GCF number.
So the greatest common factor 13,39,217 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 171/13, 342/39, 952/217

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 171/13, 342/39, 952/217?

Answer: LCM of Numerators as per given numbers 171/13, 342/39, 952/217 is

LCM of Numerators i.e. for 171,342,952 is 162792

GCF of denominators i.e. for 13,39,217 is 1.

Thus, LCM of Fractions is 162792.Finally, LCM of Fractions for 171/13, 342/39, 952/217 is 162792.