Least Common Multiple of 23/966, 273/524, 921/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/966, 273/524, 921/600 quickly i.e. 1927653/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/966, 273/524, 921/600 is 1927653/2.

LCM(23/966, 273/524, 921/600) = 1927653/2

LCM of 23/966, 273/524, 921/600

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 23/966,273/524,921/600

Given numbers are 23/966,273/524,921/600

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 23,273,921

Least Common Multiple of Numerators i.e. LCM of 23,273,921 is 1927653.

GCF of Denominators means GCF of 966,524,600 as per the given fractions.

GCF of 966,524,600 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,273,921

LCM of Fractions 23/966,273/524,921/600 is 1927653/2

3 23, 273, 921
23, 91, 307

∴ So the LCM of the given numbers is 3 x 23 x 91 x 307 = 1927653

Least Common Multiple of 23,273,921 with GCF Formula

Least Common Multiple of 23,273,921 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 23,273,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,273,921) = 1

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

GCF(23,273,921) x common factors =1 x 3 = 3

LCM(23,273,921) = ( 23 × 273 × 921 ) / 3

LCM(23,273,921) = 5782959 / 3

LCM(23,273,921) = 1927653


Lets's calculate GCF of 966,524,600

2 966, 524, 600
483, 262, 300

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1927653/2

Therefore the LCM of Fractions 23/966,273/524,921/600 is 1927653/2

Greatest Common Factor of 966,524,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,524,600 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 966,524,600 . The biggest common factor number is the GCF number.
So the greatest common factor 966,524,600 is 2.


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 23/966, 273/524, 921/600

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 23/966, 273/524, 921/600?

Answer: LCM of Numerators as per given numbers 23/966, 273/524, 921/600 is

LCM of Numerators i.e. for 23,273,921 is 1927653

GCF of denominators i.e. for 966,524,600 is 2.

Thus, LCM of Fractions is 1927653/2.Finally, LCM of Fractions for 23/966, 273/524, 921/600 is 1927653/2.