Least Common Multiple of 72/333, 6168/7474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/333, 6168/7474 quickly i.e. 18504/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/333, 6168/7474 is 18504/37.

LCM(72/333, 6168/7474) = 18504/37

LCM of 72/333, 6168/7474

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 72/333,6168/7474

Given numbers are 72/333,6168/7474

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 72,6168

Least Common Multiple of Numerators i.e. LCM of 72,6168 is 18504.

GCF of Denominators means GCF of 333,7474 as per the given fractions.

GCF of 333,7474 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,6168

LCM of Fractions 72/333,6168/7474 is 18504/37

2 72, 6168
2 36, 3084
2 18, 1542
3 9, 771
3, 257

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 257 = 18504

Least Common Multiple of 72,6168 with GCF Formula

Least Common Multiple of 72,6168 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 72,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,6168) = 24

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

GCF(72,6168) x common factors =24 x 1 = 24

LCM(72,6168) = ( 72 × 6168 ) / 24

LCM(72,6168) = 444096 / 24

LCM(72,6168) = 18504


Lets's calculate GCF of 333,7474

37 333, 7474
9, 202

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18504/37

Therefore the LCM of Fractions 72/333,6168/7474 is 18504/37

Greatest Common Factor of 333,7474 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,7474 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 7474

List of positive integer factors of 7474 that divides 7474 without a remainder.

1,2,37,74,101,202,3737,7474

Greatest Common Factor

We found the factors 333,7474 . The biggest common factor number is the GCF number.
So the greatest common factor 333,7474 is 37.


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 72/333, 6168/7474

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 72/333, 6168/7474?

Answer: LCM of Numerators as per given numbers 72/333, 6168/7474 is

LCM of Numerators i.e. for 72,6168 is 18504

GCF of denominators i.e. for 333,7474 is 37.

Thus, LCM of Fractions is 18504/37.Finally, LCM of Fractions for 72/333, 6168/7474 is 18504/37.