Least Common Multiple of 346/98, 798/2217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 346/98, 798/2217 quickly i.e. 138054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/98, 798/2217 is 138054.

LCM(346/98, 798/2217) = 138054

LCM of 346/98, 798/2217

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 346/98,798/2217

Given numbers are 346/98,798/2217

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 346,798

Least Common Multiple of Numerators i.e. LCM of 346,798 is 138054.

GCF of Denominators means GCF of 98,2217 as per the given fractions.

GCF of 98,2217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,798

LCM of Fractions 346/98,798/2217 is 138054

2 346, 798
173, 399

∴ So the LCM of the given numbers is 2 x 173 x 399 = 138054

Least Common Multiple of 346,798 with GCF Formula

Least Common Multiple of 346,798 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 346,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,798) = 2

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

GCF(346,798) x common factors =2 x 1 = 2

LCM(346,798) = ( 346 × 798 ) / 2

LCM(346,798) = 276108 / 2

LCM(346,798) = 138054


Lets's calculate GCF of 98,2217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138054/1

Therefore the LCM of Fractions 346/98,798/2217 is 138054

Greatest Common Factor of 98,2217 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,2217 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 2217

List of positive integer factors of 2217 that divides 2217 without a remainder.

1,3,739,2217

Greatest Common Factor

We found the factors 98,2217 . The biggest common factor number is the GCF number.
So the greatest common factor 98,2217 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 346/98, 798/2217

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 346/98, 798/2217?

Answer: LCM of Numerators as per given numbers 346/98, 798/2217 is

LCM of Numerators i.e. for 346,798 is 138054

GCF of denominators i.e. for 98,2217 is 1.

Thus, LCM of Fractions is 138054.Finally, LCM of Fractions for 346/98, 798/2217 is 138054.