Least Common Multiple of 299/13, 420/5463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/13, 420/5463 quickly i.e. 125580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/13, 420/5463 is 125580.

LCM(299/13, 420/5463) = 125580

LCM of 299/13, 420/5463

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 299/13,420/5463

Given numbers are 299/13,420/5463

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 299,420

Least Common Multiple of Numerators i.e. LCM of 299,420 is 125580.

GCF of Denominators means GCF of 13,5463 as per the given fractions.

GCF of 13,5463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,420

LCM of Fractions 299/13,420/5463 is 125580

Given numbers has no common factors except 1. So, there LCM is their product i.e 125580

Least Common Multiple of 299,420 with GCF Formula

Least Common Multiple of 299,420 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 299,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,420) = 1

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

GCF(299,420) x common factors =1 x 1 = 1

LCM(299,420) = ( 299 × 420 ) / 1

LCM(299,420) = 125580 / 1

LCM(299,420) = 125580


Lets's calculate GCF of 13,5463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125580/1

Therefore the LCM of Fractions 299/13,420/5463 is 125580

Greatest Common Factor of 13,5463 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,5463 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 5463

List of positive integer factors of 5463 that divides 5463 without a remainder.

1,3,9,607,1821,5463

Greatest Common Factor

We found the factors 13,5463 . The biggest common factor number is the GCF number.
So the greatest common factor 13,5463 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 299/13, 420/5463

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 299/13, 420/5463?

Answer: LCM of Numerators as per given numbers 299/13, 420/5463 is

LCM of Numerators i.e. for 299,420 is 125580

GCF of denominators i.e. for 13,5463 is 1.

Thus, LCM of Fractions is 125580.Finally, LCM of Fractions for 299/13, 420/5463 is 125580.