Least Common Multiple of 4345/369, 6463/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4345/369, 6463/717 quickly i.e. 28081735/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4345/369, 6463/717 is 28081735/3.

LCM(4345/369, 6463/717) = 28081735/3

LCM of 4345/369, 6463/717

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 4345/369,6463/717

Given numbers are 4345/369,6463/717

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 4345,6463

Least Common Multiple of Numerators i.e. LCM of 4345,6463 is 28081735.

GCF of Denominators means GCF of 369,717 as per the given fractions.

GCF of 369,717 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4345,6463

LCM of Fractions 4345/369,6463/717 is 28081735/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 28081735

Least Common Multiple of 4345,6463 with GCF Formula

Least Common Multiple of 4345,6463 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 4345,6463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4345,6463) = 1

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

GCF(4345,6463) x common factors =1 x 1 = 1

LCM(4345,6463) = ( 4345 × 6463 ) / 1

LCM(4345,6463) = 28081735 / 1

LCM(4345,6463) = 28081735


Lets's calculate GCF of 369,717

3 369, 717
123, 239

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28081735/3

Therefore the LCM of Fractions 4345/369,6463/717 is 28081735/3

Greatest Common Factor of 369,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,717 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 369,717 . The biggest common factor number is the GCF number.
So the greatest common factor 369,717 is 3.


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 4345/369, 6463/717

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 4345/369, 6463/717?

Answer: LCM of Numerators as per given numbers 4345/369, 6463/717 is

LCM of Numerators i.e. for 4345,6463 is 28081735

GCF of denominators i.e. for 369,717 is 3.

Thus, LCM of Fractions is 28081735/3.Finally, LCM of Fractions for 4345/369, 6463/717 is 28081735/3.