Least Common Multiple of 6364/967, 5903/7299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6364/967, 5903/7299 quickly i.e. 37566692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6364/967, 5903/7299 is 37566692.

LCM(6364/967, 5903/7299) = 37566692

LCM of 6364/967, 5903/7299

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 6364/967,5903/7299

Given numbers are 6364/967,5903/7299

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 6364,5903

Least Common Multiple of Numerators i.e. LCM of 6364,5903 is 37566692.

GCF of Denominators means GCF of 967,7299 as per the given fractions.

GCF of 967,7299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6364,5903

LCM of Fractions 6364/967,5903/7299 is 37566692

Given numbers has no common factors except 1. So, there LCM is their product i.e 37566692

Least Common Multiple of 6364,5903 with GCF Formula

Least Common Multiple of 6364,5903 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 6364,5903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6364,5903) = 1

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

GCF(6364,5903) x common factors =1 x 1 = 1

LCM(6364,5903) = ( 6364 × 5903 ) / 1

LCM(6364,5903) = 37566692 / 1

LCM(6364,5903) = 37566692


Lets's calculate GCF of 967,7299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37566692/1

Therefore the LCM of Fractions 6364/967,5903/7299 is 37566692

Greatest Common Factor of 967,7299 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,7299 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 7299

List of positive integer factors of 7299 that divides 7299 without a remainder.

1,3,9,811,2433,7299

Greatest Common Factor

We found the factors 967,7299 . The biggest common factor number is the GCF number.
So the greatest common factor 967,7299 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6364/967, 5903/7299

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 6364/967, 5903/7299?

Answer: LCM of Numerators as per given numbers 6364/967, 5903/7299 is

LCM of Numerators i.e. for 6364,5903 is 37566692

GCF of denominators i.e. for 967,7299 is 1.

Thus, LCM of Fractions is 37566692.Finally, LCM of Fractions for 6364/967, 5903/7299 is 37566692.