Least Common Multiple of 5217/409, 5420/4168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5217/409, 5420/4168 quickly i.e. 28276140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5217/409, 5420/4168 is 28276140.

LCM(5217/409, 5420/4168) = 28276140

LCM of 5217/409, 5420/4168

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 5217/409,5420/4168

Given numbers are 5217/409,5420/4168

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 5217,5420

Least Common Multiple of Numerators i.e. LCM of 5217,5420 is 28276140.

GCF of Denominators means GCF of 409,4168 as per the given fractions.

GCF of 409,4168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5217,5420

LCM of Fractions 5217/409,5420/4168 is 28276140

Given numbers has no common factors except 1. So, there LCM is their product i.e 28276140

Least Common Multiple of 5217,5420 with GCF Formula

Least Common Multiple of 5217,5420 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 5217,5420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5217,5420) = 1

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

GCF(5217,5420) x common factors =1 x 1 = 1

LCM(5217,5420) = ( 5217 × 5420 ) / 1

LCM(5217,5420) = 28276140 / 1

LCM(5217,5420) = 28276140


Lets's calculate GCF of 409,4168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28276140/1

Therefore the LCM of Fractions 5217/409,5420/4168 is 28276140

Greatest Common Factor of 409,4168 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,4168 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 4168

List of positive integer factors of 4168 that divides 4168 without a remainder.

1,2,4,8,521,1042,2084,4168

Greatest Common Factor

We found the factors 409,4168 . The biggest common factor number is the GCF number.
So the greatest common factor 409,4168 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 5217/409, 5420/4168

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 5217/409, 5420/4168?

Answer: LCM of Numerators as per given numbers 5217/409, 5420/4168 is

LCM of Numerators i.e. for 5217,5420 is 28276140

GCF of denominators i.e. for 409,4168 is 1.

Thus, LCM of Fractions is 28276140.Finally, LCM of Fractions for 5217/409, 5420/4168 is 28276140.