Least Common Multiple of 33/72, 600/13, 376/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/72, 600/13, 376/506 quickly i.e. 310200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/72, 600/13, 376/506 is 310200.

LCM(33/72, 600/13, 376/506) = 310200

LCM of 33/72, 600/13, 376/506

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 33/72,600/13,376/506

Given numbers are 33/72,600/13,376/506

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 33,600,376

Least Common Multiple of Numerators i.e. LCM of 33,600,376 is 310200.

GCF of Denominators means GCF of 72,13,506 as per the given fractions.

GCF of 72,13,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,600,376

LCM of Fractions 33/72,600/13,376/506 is 310200

2 33, 600, 376
2 33, 300, 188
2 33, 150, 94
3 33, 75, 47
11, 25, 47

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 25 x 47 = 310200

Least Common Multiple of 33,600,376 with GCF Formula

Least Common Multiple of 33,600,376 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 33,600,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,600,376) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(33,600,376) x common factors =1 x 24 = 24

LCM(33,600,376) = ( 33 × 600 × 376 ) / 24

LCM(33,600,376) = 7444800 / 24

LCM(33,600,376) = 310200


Lets's calculate GCF of 72,13,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310200/1

Therefore the LCM of Fractions 33/72,600/13,376/506 is 310200

Greatest Common Factor of 72,13,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,13,506 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 72,13,506 . The biggest common factor number is the GCF number.
So the greatest common factor 72,13,506 is 1.


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 33/72, 600/13, 376/506

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 33/72, 600/13, 376/506?

Answer: LCM of Numerators as per given numbers 33/72, 600/13, 376/506 is

LCM of Numerators i.e. for 33,600,376 is 310200

GCF of denominators i.e. for 72,13,506 is 1.

Thus, LCM of Fractions is 310200.Finally, LCM of Fractions for 33/72, 600/13, 376/506 is 310200.