Least Common Multiple of 5720/380, 8037/6598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5720/380, 8037/6598 quickly i.e. 22985820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5720/380, 8037/6598 is 22985820.

LCM(5720/380, 8037/6598) = 22985820

LCM of 5720/380, 8037/6598

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 5720/380,8037/6598

Given numbers are 5720/380,8037/6598

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 5720,8037

Least Common Multiple of Numerators i.e. LCM of 5720,8037 is 45971640.

GCF of Denominators means GCF of 380,6598 as per the given fractions.

GCF of 380,6598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5720,8037

LCM of Fractions 5720/380,8037/6598 is 22985820

Given numbers has no common factors except 1. So, there LCM is their product i.e 45971640

Least Common Multiple of 5720,8037 with GCF Formula

Least Common Multiple of 5720,8037 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 5720,8037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5720,8037) = 1

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

GCF(5720,8037) x common factors =1 x 1 = 1

LCM(5720,8037) = ( 5720 × 8037 ) / 1

LCM(5720,8037) = 45971640 / 1

LCM(5720,8037) = 45971640


Lets's calculate GCF of 380,6598

2 380, 6598
190, 3299

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45971640/2

Therefore the LCM of Fractions 5720/380,8037/6598 is 22985820

Greatest Common Factor of 380,6598 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,6598 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 6598

List of positive integer factors of 6598 that divides 6598 without a remainder.

1,2,3299,6598

Greatest Common Factor

We found the factors 380,6598 . The biggest common factor number is the GCF number.
So the greatest common factor 380,6598 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5720/380, 8037/6598

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 5720/380, 8037/6598?

Answer: LCM of Numerators as per given numbers 5720/380, 8037/6598 is

LCM of Numerators i.e. for 5720,8037 is 45971640

GCF of denominators i.e. for 380,6598 is 2.

Thus, LCM of Fractions is 22985820.Finally, LCM of Fractions for 5720/380, 8037/6598 is 22985820.