Least Common Multiple of 4287/798, 5113/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4287/798, 5113/665 quickly i.e. 21919431/133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4287/798, 5113/665 is 21919431/133.

LCM(4287/798, 5113/665) = 21919431/133

LCM of 4287/798, 5113/665

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 4287/798,5113/665

Given numbers are 4287/798,5113/665

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 4287,5113

Least Common Multiple of Numerators i.e. LCM of 4287,5113 is 21919431.

GCF of Denominators means GCF of 798,665 as per the given fractions.

GCF of 798,665 is 133 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4287,5113

LCM of Fractions 4287/798,5113/665 is 21919431/133

Given numbers has no common factors except 1. So, there LCM is their product i.e 21919431

Least Common Multiple of 4287,5113 with GCF Formula

Least Common Multiple of 4287,5113 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 4287,5113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4287,5113) = 1

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

GCF(4287,5113) x common factors =1 x 1 = 1

LCM(4287,5113) = ( 4287 × 5113 ) / 1

LCM(4287,5113) = 21919431 / 1

LCM(4287,5113) = 21919431


Lets's calculate GCF of 798,665

7 798, 665
19 114, 95
6, 5

∴ So the GCF of the given numbers is 7 x 19 = 133

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21919431/133

Therefore the LCM of Fractions 4287/798,5113/665 is 21919431/133

Greatest Common Factor of 798,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,665 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 798,665 . The biggest common factor number is the GCF number.
So the greatest common factor 798,665 is 133.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4287/798, 5113/665

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 4287/798, 5113/665?

Answer: LCM of Numerators as per given numbers 4287/798, 5113/665 is

LCM of Numerators i.e. for 4287,5113 is 21919431

GCF of denominators i.e. for 798,665 is 133.

Thus, LCM of Fractions is 21919431/133.Finally, LCM of Fractions for 4287/798, 5113/665 is 21919431/133.