Least Common Multiple of 218/26, 498/3699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/26, 498/3699 quickly i.e. 54282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/26, 498/3699 is 54282.

LCM(218/26, 498/3699) = 54282

LCM of 218/26, 498/3699

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 218/26,498/3699

Given numbers are 218/26,498/3699

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 218,498

Least Common Multiple of Numerators i.e. LCM of 218,498 is 54282.

GCF of Denominators means GCF of 26,3699 as per the given fractions.

GCF of 26,3699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,498

LCM of Fractions 218/26,498/3699 is 54282

2 218, 498
109, 249

∴ So the LCM of the given numbers is 2 x 109 x 249 = 54282

Least Common Multiple of 218,498 with GCF Formula

Least Common Multiple of 218,498 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 218,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,498) = 2

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

GCF(218,498) x common factors =2 x 1 = 2

LCM(218,498) = ( 218 × 498 ) / 2

LCM(218,498) = 108564 / 2

LCM(218,498) = 54282


Lets's calculate GCF of 26,3699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54282/1

Therefore the LCM of Fractions 218/26,498/3699 is 54282

Greatest Common Factor of 26,3699 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,3699 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 3699

List of positive integer factors of 3699 that divides 3699 without a remainder.

1,3,9,27,137,411,1233,3699

Greatest Common Factor

We found the factors 26,3699 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3699 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 218/26, 498/3699

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 218/26, 498/3699?

Answer: LCM of Numerators as per given numbers 218/26, 498/3699 is

LCM of Numerators i.e. for 218,498 is 54282

GCF of denominators i.e. for 26,3699 is 1.

Thus, LCM of Fractions is 54282.Finally, LCM of Fractions for 218/26, 498/3699 is 54282.