Least Common Multiple of 13/309, 4019/7622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/309, 4019/7622 quickly i.e. 52247/103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/309, 4019/7622 is 52247/103.

LCM(13/309, 4019/7622) = 52247/103

LCM of 13/309, 4019/7622

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 13/309,4019/7622

Given numbers are 13/309,4019/7622

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 13,4019

Least Common Multiple of Numerators i.e. LCM of 13,4019 is 52247.

GCF of Denominators means GCF of 309,7622 as per the given fractions.

GCF of 309,7622 is 103 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,4019

LCM of Fractions 13/309,4019/7622 is 52247/103

Given numbers has no common factors except 1. So, there LCM is their product i.e 52247

Least Common Multiple of 13,4019 with GCF Formula

Least Common Multiple of 13,4019 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 13,4019 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,4019) = 1

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

GCF(13,4019) x common factors =1 x 1 = 1

LCM(13,4019) = ( 13 × 4019 ) / 1

LCM(13,4019) = 52247 / 1

LCM(13,4019) = 52247


Lets's calculate GCF of 309,7622

103 309, 7622
3, 74

∴ So the GCF of the given numbers is 103 = 103

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52247/103

Therefore the LCM of Fractions 13/309,4019/7622 is 52247/103

Greatest Common Factor of 309,7622 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,7622 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 7622

List of positive integer factors of 7622 that divides 7622 without a remainder.

1,2,37,74,103,206,3811,7622

Greatest Common Factor

We found the factors 309,7622 . The biggest common factor number is the GCF number.
So the greatest common factor 309,7622 is 103.


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 13/309, 4019/7622

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 13/309, 4019/7622?

Answer: LCM of Numerators as per given numbers 13/309, 4019/7622 is

LCM of Numerators i.e. for 13,4019 is 52247

GCF of denominators i.e. for 309,7622 is 103.

Thus, LCM of Fractions is 52247/103.Finally, LCM of Fractions for 13/309, 4019/7622 is 52247/103.