Least Common Multiple of 813/278, 998/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 813/278, 998/197 quickly i.e. 811374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/278, 998/197 is 811374.

LCM(813/278, 998/197) = 811374

LCM of 813/278, 998/197

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 813/278,998/197

Given numbers are 813/278,998/197

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 813,998

Least Common Multiple of Numerators i.e. LCM of 813,998 is 811374.

GCF of Denominators means GCF of 278,197 as per the given fractions.

GCF of 278,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,998

LCM of Fractions 813/278,998/197 is 811374

Given numbers has no common factors except 1. So, there LCM is their product i.e 811374

Least Common Multiple of 813,998 with GCF Formula

Least Common Multiple of 813,998 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 813,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,998) = 1

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

GCF(813,998) x common factors =1 x 1 = 1

LCM(813,998) = ( 813 × 998 ) / 1

LCM(813,998) = 811374 / 1

LCM(813,998) = 811374


Lets's calculate GCF of 278,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811374/1

Therefore the LCM of Fractions 813/278,998/197 is 811374

Greatest Common Factor of 278,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,197 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 197

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

1,197

Greatest Common Factor

We found the factors 278,197 . The biggest common factor number is the GCF number.
So the greatest common factor 278,197 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 813/278, 998/197

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 813/278, 998/197?

Answer: LCM of Numerators as per given numbers 813/278, 998/197 is

LCM of Numerators i.e. for 813,998 is 811374

GCF of denominators i.e. for 278,197 is 1.

Thus, LCM of Fractions is 811374.Finally, LCM of Fractions for 813/278, 998/197 is 811374.