Least Common Multiple of 732/33, 579/7300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 732/33, 579/7300 quickly i.e. 141276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/33, 579/7300 is 141276.

LCM(732/33, 579/7300) = 141276

LCM of 732/33, 579/7300

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 732/33,579/7300

Given numbers are 732/33,579/7300

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 732,579

Least Common Multiple of Numerators i.e. LCM of 732,579 is 141276.

GCF of Denominators means GCF of 33,7300 as per the given fractions.

GCF of 33,7300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,579

LCM of Fractions 732/33,579/7300 is 141276

3 732, 579
244, 193

∴ So the LCM of the given numbers is 3 x 244 x 193 = 141276

Least Common Multiple of 732,579 with GCF Formula

Least Common Multiple of 732,579 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 732,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,579) = 3

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

GCF(732,579) x common factors =3 x 1 = 3

LCM(732,579) = ( 732 × 579 ) / 3

LCM(732,579) = 423828 / 3

LCM(732,579) = 141276


Lets's calculate GCF of 33,7300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141276/1

Therefore the LCM of Fractions 732/33,579/7300 is 141276

Greatest Common Factor of 33,7300 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,7300 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 7300

List of positive integer factors of 7300 that divides 7300 without a remainder.

1,2,4,5,10,20,25,50,73,100,146,292,365,730,1460,1825,3650,7300

Greatest Common Factor

We found the factors 33,7300 . The biggest common factor number is the GCF number.
So the greatest common factor 33,7300 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 732/33, 579/7300

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 732/33, 579/7300?

Answer: LCM of Numerators as per given numbers 732/33, 579/7300 is

LCM of Numerators i.e. for 732,579 is 141276

GCF of denominators i.e. for 33,7300 is 1.

Thus, LCM of Fractions is 141276.Finally, LCM of Fractions for 732/33, 579/7300 is 141276.