Least Common Multiple of 324/693, 2313/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/693, 2313/153 quickly i.e. 9252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/693, 2313/153 is 9252.

LCM(324/693, 2313/153) = 9252

LCM of 324/693, 2313/153

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 324/693,2313/153

Given numbers are 324/693,2313/153

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 324,2313

Least Common Multiple of Numerators i.e. LCM of 324,2313 is 83268.

GCF of Denominators means GCF of 693,153 as per the given fractions.

GCF of 693,153 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,2313

LCM of Fractions 324/693,2313/153 is 9252

3 324, 2313
3 108, 771
36, 257

∴ So the LCM of the given numbers is 3 x 3 x 36 x 257 = 83268

Least Common Multiple of 324,2313 with GCF Formula

Least Common Multiple of 324,2313 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 324,2313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,2313) = 9

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

GCF(324,2313) x common factors =9 x 1 = 9

LCM(324,2313) = ( 324 × 2313 ) / 9

LCM(324,2313) = 749412 / 9

LCM(324,2313) = 83268


Lets's calculate GCF of 693,153

3 693, 153
3 231, 51
77, 17

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83268/9

Therefore the LCM of Fractions 324/693,2313/153 is 9252

Greatest Common Factor of 693,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,153 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 693,153 . The biggest common factor number is the GCF number.
So the greatest common factor 693,153 is 9.


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 324/693, 2313/153

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 324/693, 2313/153?

Answer: LCM of Numerators as per given numbers 324/693, 2313/153 is

LCM of Numerators i.e. for 324,2313 is 83268

GCF of denominators i.e. for 693,153 is 9.

Thus, LCM of Fractions is 9252.Finally, LCM of Fractions for 324/693, 2313/153 is 9252.