Least Common Multiple of 331/60, 171/3167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 331/60, 171/3167 quickly i.e. 56601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/60, 171/3167 is 56601.

LCM(331/60, 171/3167) = 56601

LCM of 331/60, 171/3167

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 331/60,171/3167

Given numbers are 331/60,171/3167

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 331,171

Least Common Multiple of Numerators i.e. LCM of 331,171 is 56601.

GCF of Denominators means GCF of 60,3167 as per the given fractions.

GCF of 60,3167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,171

LCM of Fractions 331/60,171/3167 is 56601

Given numbers has no common factors except 1. So, there LCM is their product i.e 56601

Least Common Multiple of 331,171 with GCF Formula

Least Common Multiple of 331,171 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 331,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,171) = 1

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

GCF(331,171) x common factors =1 x 1 = 1

LCM(331,171) = ( 331 × 171 ) / 1

LCM(331,171) = 56601 / 1

LCM(331,171) = 56601


Lets's calculate GCF of 60,3167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56601/1

Therefore the LCM of Fractions 331/60,171/3167 is 56601

Greatest Common Factor of 60,3167 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,3167 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 3167

List of positive integer factors of 3167 that divides 3167 without a remainder.

1,3167

Greatest Common Factor

We found the factors 60,3167 . The biggest common factor number is the GCF number.
So the greatest common factor 60,3167 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 331/60, 171/3167

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 331/60, 171/3167?

Answer: LCM of Numerators as per given numbers 331/60, 171/3167 is

LCM of Numerators i.e. for 331,171 is 56601

GCF of denominators i.e. for 60,3167 is 1.

Thus, LCM of Fractions is 56601.Finally, LCM of Fractions for 331/60, 171/3167 is 56601.