Least Common Multiple of 3099/380, 6347/2579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3099/380, 6347/2579 quickly i.e. 19669353 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3099/380, 6347/2579 is 19669353.

LCM(3099/380, 6347/2579) = 19669353

LCM of 3099/380, 6347/2579

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 3099/380,6347/2579

Given numbers are 3099/380,6347/2579

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 3099,6347

Least Common Multiple of Numerators i.e. LCM of 3099,6347 is 19669353.

GCF of Denominators means GCF of 380,2579 as per the given fractions.

GCF of 380,2579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3099,6347

LCM of Fractions 3099/380,6347/2579 is 19669353

Given numbers has no common factors except 1. So, there LCM is their product i.e 19669353

Least Common Multiple of 3099,6347 with GCF Formula

Least Common Multiple of 3099,6347 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 3099,6347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3099,6347) = 1

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

GCF(3099,6347) x common factors =1 x 1 = 1

LCM(3099,6347) = ( 3099 × 6347 ) / 1

LCM(3099,6347) = 19669353 / 1

LCM(3099,6347) = 19669353


Lets's calculate GCF of 380,2579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19669353/1

Therefore the LCM of Fractions 3099/380,6347/2579 is 19669353

Greatest Common Factor of 380,2579 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,2579 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 2579

List of positive integer factors of 2579 that divides 2579 without a remainder.

1,2579

Greatest Common Factor

We found the factors 380,2579 . The biggest common factor number is the GCF number.
So the greatest common factor 380,2579 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3099/380, 6347/2579

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 3099/380, 6347/2579?

Answer: LCM of Numerators as per given numbers 3099/380, 6347/2579 is

LCM of Numerators i.e. for 3099,6347 is 19669353

GCF of denominators i.e. for 380,2579 is 1.

Thus, LCM of Fractions is 19669353.Finally, LCM of Fractions for 3099/380, 6347/2579 is 19669353.