Least Common Multiple of 218/988, 5498/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/988, 5498/559 quickly i.e. 599282/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/988, 5498/559 is 599282/13.

LCM(218/988, 5498/559) = 599282/13

LCM of 218/988, 5498/559

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 218/988,5498/559

Given numbers are 218/988,5498/559

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 218,5498

Least Common Multiple of Numerators i.e. LCM of 218,5498 is 599282.

GCF of Denominators means GCF of 988,559 as per the given fractions.

GCF of 988,559 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,5498

LCM of Fractions 218/988,5498/559 is 599282/13

2 218, 5498
109, 2749

∴ So the LCM of the given numbers is 2 x 109 x 2749 = 599282

Least Common Multiple of 218,5498 with GCF Formula

Least Common Multiple of 218,5498 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 218,5498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,5498) = 2

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

GCF(218,5498) x common factors =2 x 1 = 2

LCM(218,5498) = ( 218 × 5498 ) / 2

LCM(218,5498) = 1198564 / 2

LCM(218,5498) = 599282


Lets's calculate GCF of 988,559

13 988, 559
76, 43

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599282/13

Therefore the LCM of Fractions 218/988,5498/559 is 599282/13

Greatest Common Factor of 988,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,559 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 988,559 . The biggest common factor number is the GCF number.
So the greatest common factor 988,559 is 13.


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 218/988, 5498/559

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 218/988, 5498/559?

Answer: LCM of Numerators as per given numbers 218/988, 5498/559 is

LCM of Numerators i.e. for 218,5498 is 599282

GCF of denominators i.e. for 988,559 is 13.

Thus, LCM of Fractions is 599282/13.Finally, LCM of Fractions for 218/988, 5498/559 is 599282/13.