Least Common Multiple of 323/302, 879/352, 504/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/302, 879/352, 504/967 quickly i.e. 47698056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/302, 879/352, 504/967 is 47698056.

LCM(323/302, 879/352, 504/967) = 47698056

LCM of 323/302, 879/352, 504/967

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 323/302,879/352,504/967

Given numbers are 323/302,879/352,504/967

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 323,879,504

Least Common Multiple of Numerators i.e. LCM of 323,879,504 is 47698056.

GCF of Denominators means GCF of 302,352,967 as per the given fractions.

GCF of 302,352,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,879,504

LCM of Fractions 323/302,879/352,504/967 is 47698056

3 323, 879, 504
323, 293, 168

∴ So the LCM of the given numbers is 3 x 323 x 293 x 168 = 47698056

Least Common Multiple of 323,879,504 with GCF Formula

Least Common Multiple of 323,879,504 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 323,879,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,879,504) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(323,879,504) x common factors =1 x 3 = 3

LCM(323,879,504) = ( 323 × 879 × 504 ) / 3

LCM(323,879,504) = 143094168 / 3

LCM(323,879,504) = 47698056


Lets's calculate GCF of 302,352,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47698056/1

Therefore the LCM of Fractions 323/302,879/352,504/967 is 47698056

Greatest Common Factor of 302,352,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,352,967 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 302,352,967 . The biggest common factor number is the GCF number.
So the greatest common factor 302,352,967 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 323/302, 879/352, 504/967

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 323/302, 879/352, 504/967?

Answer: LCM of Numerators as per given numbers 323/302, 879/352, 504/967 is

LCM of Numerators i.e. for 323,879,504 is 47698056

GCF of denominators i.e. for 302,352,967 is 1.

Thus, LCM of Fractions is 47698056.Finally, LCM of Fractions for 323/302, 879/352, 504/967 is 47698056.