Least Common Multiple of 867/347, 9198/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 867/347, 9198/718 quickly i.e. 2658222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/347, 9198/718 is 2658222.

LCM(867/347, 9198/718) = 2658222

LCM of 867/347, 9198/718

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 867/347,9198/718

Given numbers are 867/347,9198/718

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 867,9198

Least Common Multiple of Numerators i.e. LCM of 867,9198 is 2658222.

GCF of Denominators means GCF of 347,718 as per the given fractions.

GCF of 347,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,9198

LCM of Fractions 867/347,9198/718 is 2658222

3 867, 9198
289, 3066

∴ So the LCM of the given numbers is 3 x 289 x 3066 = 2658222

Least Common Multiple of 867,9198 with GCF Formula

Least Common Multiple of 867,9198 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 867,9198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,9198) = 3

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

GCF(867,9198) x common factors =3 x 1 = 3

LCM(867,9198) = ( 867 × 9198 ) / 3

LCM(867,9198) = 7974666 / 3

LCM(867,9198) = 2658222


Lets's calculate GCF of 347,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2658222/1

Therefore the LCM of Fractions 867/347,9198/718 is 2658222

Greatest Common Factor of 347,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,718 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 347,718 . The biggest common factor number is the GCF number.
So the greatest common factor 347,718 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 867/347, 9198/718

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 867/347, 9198/718?

Answer: LCM of Numerators as per given numbers 867/347, 9198/718 is

LCM of Numerators i.e. for 867,9198 is 2658222

GCF of denominators i.e. for 347,718 is 1.

Thus, LCM of Fractions is 2658222.Finally, LCM of Fractions for 867/347, 9198/718 is 2658222.