Least Common Multiple of 53/765, 6409/6442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/765, 6409/6442 quickly i.e. 339677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/765, 6409/6442 is 339677.

LCM(53/765, 6409/6442) = 339677

LCM of 53/765, 6409/6442

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 53/765,6409/6442

Given numbers are 53/765,6409/6442

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 53,6409

Least Common Multiple of Numerators i.e. LCM of 53,6409 is 339677.

GCF of Denominators means GCF of 765,6442 as per the given fractions.

GCF of 765,6442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,6409

LCM of Fractions 53/765,6409/6442 is 339677

Given numbers has no common factors except 1. So, there LCM is their product i.e 339677

Least Common Multiple of 53,6409 with GCF Formula

Least Common Multiple of 53,6409 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 53,6409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,6409) = 1

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

GCF(53,6409) x common factors =1 x 1 = 1

LCM(53,6409) = ( 53 × 6409 ) / 1

LCM(53,6409) = 339677 / 1

LCM(53,6409) = 339677


Lets's calculate GCF of 765,6442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339677/1

Therefore the LCM of Fractions 53/765,6409/6442 is 339677

Greatest Common Factor of 765,6442 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,6442 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 6442

List of positive integer factors of 6442 that divides 6442 without a remainder.

1,2,3221,6442

Greatest Common Factor

We found the factors 765,6442 . The biggest common factor number is the GCF number.
So the greatest common factor 765,6442 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 53/765, 6409/6442

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 53/765, 6409/6442?

Answer: LCM of Numerators as per given numbers 53/765, 6409/6442 is

LCM of Numerators i.e. for 53,6409 is 339677

GCF of denominators i.e. for 765,6442 is 1.

Thus, LCM of Fractions is 339677.Finally, LCM of Fractions for 53/765, 6409/6442 is 339677.