Least Common Multiple of 9139/788, 4010/3006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9139/788, 4010/3006 quickly i.e. 18323695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9139/788, 4010/3006 is 18323695.

LCM(9139/788, 4010/3006) = 18323695

LCM of 9139/788, 4010/3006

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 9139/788,4010/3006

Given numbers are 9139/788,4010/3006

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 9139,4010

Least Common Multiple of Numerators i.e. LCM of 9139,4010 is 36647390.

GCF of Denominators means GCF of 788,3006 as per the given fractions.

GCF of 788,3006 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9139,4010

LCM of Fractions 9139/788,4010/3006 is 18323695

Given numbers has no common factors except 1. So, there LCM is their product i.e 36647390

Least Common Multiple of 9139,4010 with GCF Formula

Least Common Multiple of 9139,4010 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 9139,4010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9139,4010) = 1

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

GCF(9139,4010) x common factors =1 x 1 = 1

LCM(9139,4010) = ( 9139 × 4010 ) / 1

LCM(9139,4010) = 36647390 / 1

LCM(9139,4010) = 36647390


Lets's calculate GCF of 788,3006

2 788, 3006
394, 1503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36647390/2

Therefore the LCM of Fractions 9139/788,4010/3006 is 18323695

Greatest Common Factor of 788,3006 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,3006 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 3006

List of positive integer factors of 3006 that divides 3006 without a remainder.

1,2,3,6,9,18,167,334,501,1002,1503,3006

Greatest Common Factor

We found the factors 788,3006 . The biggest common factor number is the GCF number.
So the greatest common factor 788,3006 is 2.


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 9139/788, 4010/3006

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 9139/788, 4010/3006?

Answer: LCM of Numerators as per given numbers 9139/788, 4010/3006 is

LCM of Numerators i.e. for 9139,4010 is 36647390

GCF of denominators i.e. for 788,3006 is 2.

Thus, LCM of Fractions is 18323695.Finally, LCM of Fractions for 9139/788, 4010/3006 is 18323695.