Least Common Multiple of 6/218, 5/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/218, 5/545 quickly i.e. 30/109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/218, 5/545 is 30/109.

LCM(6/218, 5/545) = 30/109

LCM of 6/218, 5/545

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 6/218,5/545

Given numbers are 6/218,5/545

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 6,5

Least Common Multiple of Numerators i.e. LCM of 6,5 is 30.

GCF of Denominators means GCF of 218,545 as per the given fractions.

GCF of 218,545 is 109 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,5

LCM of Fractions 6/218,5/545 is 30/109

Given numbers has no common factors except 1. So, there LCM is their product i.e 30

Least Common Multiple of 6,5 with GCF Formula

Least Common Multiple of 6,5 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 6,5 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,5) = 1

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

GCF(6,5) x common factors =1 x 1 = 1

LCM(6,5) = ( 6 × 5 ) / 1

LCM(6,5) = 30 / 1

LCM(6,5) = 30


Lets's calculate GCF of 218,545

109 218, 545
2, 5

∴ So the GCF of the given numbers is 109 = 109

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30/109

Therefore the LCM of Fractions 6/218,5/545 is 30/109

Greatest Common Factor of 218,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,545 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 218,545 . The biggest common factor number is the GCF number.
So the greatest common factor 218,545 is 109.


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 6/218, 5/545

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 6/218, 5/545?

Answer: LCM of Numerators as per given numbers 6/218, 5/545 is

LCM of Numerators i.e. for 6,5 is 30

GCF of denominators i.e. for 218,545 is 109.

Thus, LCM of Fractions is 30/109.Finally, LCM of Fractions for 6/218, 5/545 is 30/109.