Least Common Multiple of 302/504, 364/451, 215/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 302/504, 364/451, 215/324 quickly i.e. 11817260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 302/504, 364/451, 215/324 is 11817260.

LCM(302/504, 364/451, 215/324) = 11817260

LCM of 302/504, 364/451, 215/324

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 302/504,364/451,215/324

Given numbers are 302/504,364/451,215/324

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 302,364,215

Least Common Multiple of Numerators i.e. LCM of 302,364,215 is 11817260.

GCF of Denominators means GCF of 504,451,324 as per the given fractions.

GCF of 504,451,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 302,364,215

LCM of Fractions 302/504,364/451,215/324 is 11817260

2 302, 364, 215
151, 182, 215

∴ So the LCM of the given numbers is 2 x 151 x 182 x 215 = 11817260

Least Common Multiple of 302,364,215 with GCF Formula

Least Common Multiple of 302,364,215 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 302,364,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,364,215) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(302,364,215) x common factors =1 x 2 = 2

LCM(302,364,215) = ( 302 × 364 × 215 ) / 2

LCM(302,364,215) = 23634520 / 2

LCM(302,364,215) = 11817260


Lets's calculate GCF of 504,451,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11817260/1

Therefore the LCM of Fractions 302/504,364/451,215/324 is 11817260

Greatest Common Factor of 504,451,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,451,324 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

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

Greatest Common Factor

We found the factors 504,451,324 . The biggest common factor number is the GCF number.
So the greatest common factor 504,451,324 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 302/504, 364/451, 215/324

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 302/504, 364/451, 215/324?

Answer: LCM of Numerators as per given numbers 302/504, 364/451, 215/324 is

LCM of Numerators i.e. for 302,364,215 is 11817260

GCF of denominators i.e. for 504,451,324 is 1.

Thus, LCM of Fractions is 11817260.Finally, LCM of Fractions for 302/504, 364/451, 215/324 is 11817260.