Least Common Multiple of 398/197, 305/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/197, 305/540 quickly i.e. 121390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/197, 305/540 is 121390.

LCM(398/197, 305/540) = 121390

LCM of 398/197, 305/540

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 398/197,305/540

Given numbers are 398/197,305/540

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 398,305

Least Common Multiple of Numerators i.e. LCM of 398,305 is 121390.

GCF of Denominators means GCF of 197,540 as per the given fractions.

GCF of 197,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,305

LCM of Fractions 398/197,305/540 is 121390

Given numbers has no common factors except 1. So, there LCM is their product i.e 121390

Least Common Multiple of 398,305 with GCF Formula

Least Common Multiple of 398,305 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 398,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,305) = 1

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

GCF(398,305) x common factors =1 x 1 = 1

LCM(398,305) = ( 398 × 305 ) / 1

LCM(398,305) = 121390 / 1

LCM(398,305) = 121390


Lets's calculate GCF of 197,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121390/1

Therefore the LCM of Fractions 398/197,305/540 is 121390

Greatest Common Factor of 197,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,540 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 197,540 . The biggest common factor number is the GCF number.
So the greatest common factor 197,540 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 398/197, 305/540

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 398/197, 305/540?

Answer: LCM of Numerators as per given numbers 398/197, 305/540 is

LCM of Numerators i.e. for 398,305 is 121390

GCF of denominators i.e. for 197,540 is 1.

Thus, LCM of Fractions is 121390.Finally, LCM of Fractions for 398/197, 305/540 is 121390.