Least Common Multiple of 171/52, 901/3657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 171/52, 901/3657 quickly i.e. 154071 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/52, 901/3657 is 154071.

LCM(171/52, 901/3657) = 154071

LCM of 171/52, 901/3657

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 171/52,901/3657

Given numbers are 171/52,901/3657

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 171,901

Least Common Multiple of Numerators i.e. LCM of 171,901 is 154071.

GCF of Denominators means GCF of 52,3657 as per the given fractions.

GCF of 52,3657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,901

LCM of Fractions 171/52,901/3657 is 154071

Given numbers has no common factors except 1. So, there LCM is their product i.e 154071

Least Common Multiple of 171,901 with GCF Formula

Least Common Multiple of 171,901 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 171,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,901) = 1

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

GCF(171,901) x common factors =1 x 1 = 1

LCM(171,901) = ( 171 × 901 ) / 1

LCM(171,901) = 154071 / 1

LCM(171,901) = 154071


Lets's calculate GCF of 52,3657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154071/1

Therefore the LCM of Fractions 171/52,901/3657 is 154071

Greatest Common Factor of 52,3657 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,3657 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1,3,23,53,69,159,1219,3657

Greatest Common Factor

We found the factors 52,3657 . The biggest common factor number is the GCF number.
So the greatest common factor 52,3657 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 171/52, 901/3657

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 171/52, 901/3657?

Answer: LCM of Numerators as per given numbers 171/52, 901/3657 is

LCM of Numerators i.e. for 171,901 is 154071

GCF of denominators i.e. for 52,3657 is 1.

Thus, LCM of Fractions is 154071.Finally, LCM of Fractions for 171/52, 901/3657 is 154071.