Least Common Multiple of 201/398, 7167/1085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 201/398, 7167/1085 quickly i.e. 480189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 201/398, 7167/1085 is 480189.

LCM(201/398, 7167/1085) = 480189

LCM of 201/398, 7167/1085

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 201/398,7167/1085

Given numbers are 201/398,7167/1085

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 201,7167

Least Common Multiple of Numerators i.e. LCM of 201,7167 is 480189.

GCF of Denominators means GCF of 398,1085 as per the given fractions.

GCF of 398,1085 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 201,7167

LCM of Fractions 201/398,7167/1085 is 480189

3 201, 7167
67, 2389

∴ So the LCM of the given numbers is 3 x 67 x 2389 = 480189

Least Common Multiple of 201,7167 with GCF Formula

Least Common Multiple of 201,7167 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 201,7167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,7167) = 3

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

GCF(201,7167) x common factors =3 x 1 = 3

LCM(201,7167) = ( 201 × 7167 ) / 3

LCM(201,7167) = 1440567 / 3

LCM(201,7167) = 480189


Lets's calculate GCF of 398,1085

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480189/1

Therefore the LCM of Fractions 201/398,7167/1085 is 480189

Greatest Common Factor of 398,1085 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,1085 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 1085

List of positive integer factors of 1085 that divides 1085 without a remainder.

1,5,7,31,35,155,217,1085

Greatest Common Factor

We found the factors 398,1085 . The biggest common factor number is the GCF number.
So the greatest common factor 398,1085 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 201/398, 7167/1085

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 201/398, 7167/1085?

Answer: LCM of Numerators as per given numbers 201/398, 7167/1085 is

LCM of Numerators i.e. for 201,7167 is 480189

GCF of denominators i.e. for 398,1085 is 1.

Thus, LCM of Fractions is 480189.Finally, LCM of Fractions for 201/398, 7167/1085 is 480189.