Least Common Multiple of 7386/309, 1387/5200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7386/309, 1387/5200 quickly i.e. 10244382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7386/309, 1387/5200 is 10244382.

LCM(7386/309, 1387/5200) = 10244382

LCM of 7386/309, 1387/5200

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 7386/309,1387/5200

Given numbers are 7386/309,1387/5200

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 7386,1387

Least Common Multiple of Numerators i.e. LCM of 7386,1387 is 10244382.

GCF of Denominators means GCF of 309,5200 as per the given fractions.

GCF of 309,5200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7386,1387

LCM of Fractions 7386/309,1387/5200 is 10244382

Given numbers has no common factors except 1. So, there LCM is their product i.e 10244382

Least Common Multiple of 7386,1387 with GCF Formula

Least Common Multiple of 7386,1387 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 7386,1387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7386,1387) = 1

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

GCF(7386,1387) x common factors =1 x 1 = 1

LCM(7386,1387) = ( 7386 × 1387 ) / 1

LCM(7386,1387) = 10244382 / 1

LCM(7386,1387) = 10244382


Lets's calculate GCF of 309,5200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10244382/1

Therefore the LCM of Fractions 7386/309,1387/5200 is 10244382

Greatest Common Factor of 309,5200 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,5200 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 5200

List of positive integer factors of 5200 that divides 5200 without a remainder.

1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200

Greatest Common Factor

We found the factors 309,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 309,5200 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 7386/309, 1387/5200

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 7386/309, 1387/5200?

Answer: LCM of Numerators as per given numbers 7386/309, 1387/5200 is

LCM of Numerators i.e. for 7386,1387 is 10244382

GCF of denominators i.e. for 309,5200 is 1.

Thus, LCM of Fractions is 10244382.Finally, LCM of Fractions for 7386/309, 1387/5200 is 10244382.