Least Common Multiple of 14/33, 94/38, 83/39, 52/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/33, 94/38, 83/39, 52/638 quickly i.e. 1419964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/33, 94/38, 83/39, 52/638 is 1419964.

LCM(14/33, 94/38, 83/39, 52/638) = 1419964

LCM of 14/33, 94/38, 83/39, 52/638

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 14/33,94/38,83/39,52/638

Given numbers are 14/33,94/38,83/39,52/638

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 14,94,83,52

Least Common Multiple of Numerators i.e. LCM of 14,94,83,52 is 1419964.

GCF of Denominators means GCF of 33,38,39,638 as per the given fractions.

GCF of 33,38,39,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,94,83,52

LCM of Fractions 14/33,94/38,83/39,52/638 is 1419964

2 14, 94, 83, 52
7, 47, 83, 26

∴ So the LCM of the given numbers is 2 x 7 x 47 x 83 x 26 = 1419964

Least Common Multiple of 14,94,83,52 with GCF Formula

Least Common Multiple of 14,94,83,52 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 14,94,83,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,94,83,52) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(14,94,83,52) x common factors =1 x 4 = 4

LCM(14,94,83,52) = ( 14 × 94 × 83 × 52 ) / 4

LCM(14,94,83,52) = 5679856 / 4

LCM(14,94,83,52) = 1419964


Lets's calculate GCF of 33,38,39,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1419964/1

Therefore the LCM of Fractions 14/33,94/38,83/39,52/638 is 1419964

Greatest Common Factor of 33,38,39,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,38,39,638 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 38

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

1,2,19,38

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 33,38,39,638 . The biggest common factor number is the GCF number.
So the greatest common factor 33,38,39,638 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 14/33, 94/38, 83/39, 52/638

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 14/33, 94/38, 83/39, 52/638?

Answer: LCM of Numerators as per given numbers 14/33, 94/38, 83/39, 52/638 is

LCM of Numerators i.e. for 14,94,83,52 is 1419964

GCF of denominators i.e. for 33,38,39,638 is 1.

Thus, LCM of Fractions is 1419964.Finally, LCM of Fractions for 14/33, 94/38, 83/39, 52/638 is 1419964.