Least Common Multiple of 5498/342, 2286/9497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5498/342, 2286/9497 quickly i.e. 6284214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5498/342, 2286/9497 is 6284214.

LCM(5498/342, 2286/9497) = 6284214

LCM of 5498/342, 2286/9497

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 5498/342,2286/9497

Given numbers are 5498/342,2286/9497

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 5498,2286

Least Common Multiple of Numerators i.e. LCM of 5498,2286 is 6284214.

GCF of Denominators means GCF of 342,9497 as per the given fractions.

GCF of 342,9497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5498,2286

LCM of Fractions 5498/342,2286/9497 is 6284214

2 5498, 2286
2749, 1143

∴ So the LCM of the given numbers is 2 x 2749 x 1143 = 6284214

Least Common Multiple of 5498,2286 with GCF Formula

Least Common Multiple of 5498,2286 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 5498,2286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5498,2286) = 2

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

GCF(5498,2286) x common factors =2 x 1 = 2

LCM(5498,2286) = ( 5498 × 2286 ) / 2

LCM(5498,2286) = 12568428 / 2

LCM(5498,2286) = 6284214


Lets's calculate GCF of 342,9497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6284214/1

Therefore the LCM of Fractions 5498/342,2286/9497 is 6284214

Greatest Common Factor of 342,9497 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,9497 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 9497

List of positive integer factors of 9497 that divides 9497 without a remainder.

1,9497

Greatest Common Factor

We found the factors 342,9497 . The biggest common factor number is the GCF number.
So the greatest common factor 342,9497 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 5498/342, 2286/9497

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 5498/342, 2286/9497?

Answer: LCM of Numerators as per given numbers 5498/342, 2286/9497 is

LCM of Numerators i.e. for 5498,2286 is 6284214

GCF of denominators i.e. for 342,9497 is 1.

Thus, LCM of Fractions is 6284214.Finally, LCM of Fractions for 5498/342, 2286/9497 is 6284214.