Least Common Multiple of 6435/404, 5677/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6435/404, 5677/109 quickly i.e. 36531495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6435/404, 5677/109 is 36531495.

LCM(6435/404, 5677/109) = 36531495

LCM of 6435/404, 5677/109

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 6435/404,5677/109

Given numbers are 6435/404,5677/109

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 6435,5677

Least Common Multiple of Numerators i.e. LCM of 6435,5677 is 36531495.

GCF of Denominators means GCF of 404,109 as per the given fractions.

GCF of 404,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6435,5677

LCM of Fractions 6435/404,5677/109 is 36531495

Given numbers has no common factors except 1. So, there LCM is their product i.e 36531495

Least Common Multiple of 6435,5677 with GCF Formula

Least Common Multiple of 6435,5677 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 6435,5677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6435,5677) = 1

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

GCF(6435,5677) x common factors =1 x 1 = 1

LCM(6435,5677) = ( 6435 × 5677 ) / 1

LCM(6435,5677) = 36531495 / 1

LCM(6435,5677) = 36531495


Lets's calculate GCF of 404,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36531495/1

Therefore the LCM of Fractions 6435/404,5677/109 is 36531495

Greatest Common Factor of 404,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,109 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 404,109 . The biggest common factor number is the GCF number.
So the greatest common factor 404,109 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 6435/404, 5677/109

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 6435/404, 5677/109?

Answer: LCM of Numerators as per given numbers 6435/404, 5677/109 is

LCM of Numerators i.e. for 6435,5677 is 36531495

GCF of denominators i.e. for 404,109 is 1.

Thus, LCM of Fractions is 36531495.Finally, LCM of Fractions for 6435/404, 5677/109 is 36531495.