Least Common Multiple of 33/434, 15/482, 638/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/434, 15/482, 638/272 quickly i.e. 4785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/434, 15/482, 638/272 is 4785.

LCM(33/434, 15/482, 638/272) = 4785

LCM of 33/434, 15/482, 638/272

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 33/434,15/482,638/272

Given numbers are 33/434,15/482,638/272

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 33,15,638

Least Common Multiple of Numerators i.e. LCM of 33,15,638 is 9570.

GCF of Denominators means GCF of 434,482,272 as per the given fractions.

GCF of 434,482,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,15,638

LCM of Fractions 33/434,15/482,638/272 is 4785

3 33, 15, 638
11 11, 5, 638
1, 5, 58

∴ So the LCM of the given numbers is 3 x 11 x 1 x 5 x 58 = 9570

Least Common Multiple of 33,15,638 with GCF Formula

Least Common Multiple of 33,15,638 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 33,15,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,15,638) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(33,15,638) x common factors =1 x 33 = 33

LCM(33,15,638) = ( 33 × 15 × 638 ) / 33

LCM(33,15,638) = 315810 / 33

LCM(33,15,638) = 9570


Lets's calculate GCF of 434,482,272

2 434, 482, 272
217, 241, 136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9570/2

Therefore the LCM of Fractions 33/434,15/482,638/272 is 4785

Greatest Common Factor of 434,482,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,482,272 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 434,482,272 . The biggest common factor number is the GCF number.
So the greatest common factor 434,482,272 is 2.


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Frequently Asked Questions on Fractional LCM of 33/434, 15/482, 638/272

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 33/434, 15/482, 638/272?

Answer: LCM of Numerators as per given numbers 33/434, 15/482, 638/272 is

LCM of Numerators i.e. for 33,15,638 is 9570

GCF of denominators i.e. for 434,482,272 is 2.

Thus, LCM of Fractions is 4785.Finally, LCM of Fractions for 33/434, 15/482, 638/272 is 4785.