Least Common Multiple of 72/324, 4264/9900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/324, 4264/9900 quickly i.e. 1066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/324, 4264/9900 is 1066.

LCM(72/324, 4264/9900) = 1066

LCM of 72/324, 4264/9900

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 72/324,4264/9900

Given numbers are 72/324,4264/9900

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 72,4264

Least Common Multiple of Numerators i.e. LCM of 72,4264 is 38376.

GCF of Denominators means GCF of 324,9900 as per the given fractions.

GCF of 324,9900 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,4264

LCM of Fractions 72/324,4264/9900 is 1066

2 72, 4264
2 36, 2132
2 18, 1066
9, 533

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 533 = 38376

Least Common Multiple of 72,4264 with GCF Formula

Least Common Multiple of 72,4264 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 72,4264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,4264) = 8

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

GCF(72,4264) x common factors =8 x 1 = 8

LCM(72,4264) = ( 72 × 4264 ) / 8

LCM(72,4264) = 307008 / 8

LCM(72,4264) = 38376


Lets's calculate GCF of 324,9900

2 324, 9900
2 162, 4950
3 81, 2475
3 27, 825
9, 275

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38376/36

Therefore the LCM of Fractions 72/324,4264/9900 is 1066

Greatest Common Factor of 324,9900 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,9900 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900

Greatest Common Factor

We found the factors 324,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 324,9900 is 36.


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 72/324, 4264/9900

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 72/324, 4264/9900?

Answer: LCM of Numerators as per given numbers 72/324, 4264/9900 is

LCM of Numerators i.e. for 72,4264 is 38376

GCF of denominators i.e. for 324,9900 is 36.

Thus, LCM of Fractions is 1066.Finally, LCM of Fractions for 72/324, 4264/9900 is 1066.