Least Common Multiple of 8339/699, 4249/3036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8339/699, 4249/3036 quickly i.e. 35432411/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8339/699, 4249/3036 is 35432411/3.

LCM(8339/699, 4249/3036) = 35432411/3

LCM of 8339/699, 4249/3036

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 8339/699,4249/3036

Given numbers are 8339/699,4249/3036

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 8339,4249

Least Common Multiple of Numerators i.e. LCM of 8339,4249 is 35432411.

GCF of Denominators means GCF of 699,3036 as per the given fractions.

GCF of 699,3036 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8339,4249

LCM of Fractions 8339/699,4249/3036 is 35432411/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 35432411

Least Common Multiple of 8339,4249 with GCF Formula

Least Common Multiple of 8339,4249 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 8339,4249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8339,4249) = 1

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

GCF(8339,4249) x common factors =1 x 1 = 1

LCM(8339,4249) = ( 8339 × 4249 ) / 1

LCM(8339,4249) = 35432411 / 1

LCM(8339,4249) = 35432411


Lets's calculate GCF of 699,3036

3 699, 3036
233, 1012

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35432411/3

Therefore the LCM of Fractions 8339/699,4249/3036 is 35432411/3

Greatest Common Factor of 699,3036 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,3036 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036

Greatest Common Factor

We found the factors 699,3036 . The biggest common factor number is the GCF number.
So the greatest common factor 699,3036 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8339/699, 4249/3036

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 8339/699, 4249/3036?

Answer: LCM of Numerators as per given numbers 8339/699, 4249/3036 is

LCM of Numerators i.e. for 8339,4249 is 35432411

GCF of denominators i.e. for 699,3036 is 3.

Thus, LCM of Fractions is 35432411/3.Finally, LCM of Fractions for 8339/699, 4249/3036 is 35432411/3.