Least Common Multiple of 6429/435, 5744/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6429/435, 5744/617 quickly i.e. 36928176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6429/435, 5744/617 is 36928176.

LCM(6429/435, 5744/617) = 36928176

LCM of 6429/435, 5744/617

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 6429/435,5744/617

Given numbers are 6429/435,5744/617

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 6429,5744

Least Common Multiple of Numerators i.e. LCM of 6429,5744 is 36928176.

GCF of Denominators means GCF of 435,617 as per the given fractions.

GCF of 435,617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6429,5744

LCM of Fractions 6429/435,5744/617 is 36928176

Given numbers has no common factors except 1. So, there LCM is their product i.e 36928176

Least Common Multiple of 6429,5744 with GCF Formula

Least Common Multiple of 6429,5744 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 6429,5744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6429,5744) = 1

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

GCF(6429,5744) x common factors =1 x 1 = 1

LCM(6429,5744) = ( 6429 × 5744 ) / 1

LCM(6429,5744) = 36928176 / 1

LCM(6429,5744) = 36928176


Lets's calculate GCF of 435,617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36928176/1

Therefore the LCM of Fractions 6429/435,5744/617 is 36928176

Greatest Common Factor of 435,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,617 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 435,617 . The biggest common factor number is the GCF number.
So the greatest common factor 435,617 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6429/435, 5744/617

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 6429/435, 5744/617?

Answer: LCM of Numerators as per given numbers 6429/435, 5744/617 is

LCM of Numerators i.e. for 6429,5744 is 36928176

GCF of denominators i.e. for 435,617 is 1.

Thus, LCM of Fractions is 36928176.Finally, LCM of Fractions for 6429/435, 5744/617 is 36928176.