Least Common Multiple of 23/976, 48/733, 943/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/976, 48/733, 943/216 quickly i.e. 45264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/976, 48/733, 943/216 is 45264.

LCM(23/976, 48/733, 943/216) = 45264

LCM of 23/976, 48/733, 943/216

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 23/976,48/733,943/216

Given numbers are 23/976,48/733,943/216

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 23,48,943

Least Common Multiple of Numerators i.e. LCM of 23,48,943 is 45264.

GCF of Denominators means GCF of 976,733,216 as per the given fractions.

GCF of 976,733,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,48,943

LCM of Fractions 23/976,48/733,943/216 is 45264

23 23, 48, 943
1, 48, 41

∴ So the LCM of the given numbers is 23 x 1 x 48 x 41 = 45264

Least Common Multiple of 23,48,943 with GCF Formula

Least Common Multiple of 23,48,943 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 23,48,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,48,943) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,48,943) x common factors =1 x 23 = 23

LCM(23,48,943) = ( 23 × 48 × 943 ) / 23

LCM(23,48,943) = 1041072 / 23

LCM(23,48,943) = 45264


Lets's calculate GCF of 976,733,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45264/1

Therefore the LCM of Fractions 23/976,48/733,943/216 is 45264

Greatest Common Factor of 976,733,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,733,216 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 976,733,216 . The biggest common factor number is the GCF number.
So the greatest common factor 976,733,216 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 23/976, 48/733, 943/216

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 23/976, 48/733, 943/216?

Answer: LCM of Numerators as per given numbers 23/976, 48/733, 943/216 is

LCM of Numerators i.e. for 23,48,943 is 45264

GCF of denominators i.e. for 976,733,216 is 1.

Thus, LCM of Fractions is 45264.Finally, LCM of Fractions for 23/976, 48/733, 943/216 is 45264.