Least Common Multiple of 404/38, 119/9906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 404/38, 119/9906 quickly i.e. 24038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/38, 119/9906 is 24038.

LCM(404/38, 119/9906) = 24038

LCM of 404/38, 119/9906

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 404/38,119/9906

Given numbers are 404/38,119/9906

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 404,119

Least Common Multiple of Numerators i.e. LCM of 404,119 is 48076.

GCF of Denominators means GCF of 38,9906 as per the given fractions.

GCF of 38,9906 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,119

LCM of Fractions 404/38,119/9906 is 24038

Given numbers has no common factors except 1. So, there LCM is their product i.e 48076

Least Common Multiple of 404,119 with GCF Formula

Least Common Multiple of 404,119 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 404,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,119) = 1

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

GCF(404,119) x common factors =1 x 1 = 1

LCM(404,119) = ( 404 × 119 ) / 1

LCM(404,119) = 48076 / 1

LCM(404,119) = 48076


Lets's calculate GCF of 38,9906

2 38, 9906
19, 4953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48076/2

Therefore the LCM of Fractions 404/38,119/9906 is 24038

Greatest Common Factor of 38,9906 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,9906 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 9906

List of positive integer factors of 9906 that divides 9906 without a remainder.

1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906

Greatest Common Factor

We found the factors 38,9906 . The biggest common factor number is the GCF number.
So the greatest common factor 38,9906 is 2.


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Frequently Asked Questions on Fractional LCM of 404/38, 119/9906

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 404/38, 119/9906?

Answer: LCM of Numerators as per given numbers 404/38, 119/9906 is

LCM of Numerators i.e. for 404,119 is 48076

GCF of denominators i.e. for 38,9906 is 2.

Thus, LCM of Fractions is 24038.Finally, LCM of Fractions for 404/38, 119/9906 is 24038.