Least Common Multiple of 23/750, 150/27, 963/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/750, 150/27, 963/579 quickly i.e. 369150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/750, 150/27, 963/579 is 369150.

LCM(23/750, 150/27, 963/579) = 369150

LCM of 23/750, 150/27, 963/579

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 23/750,150/27,963/579

Given numbers are 23/750,150/27,963/579

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 23,150,963

Least Common Multiple of Numerators i.e. LCM of 23,150,963 is 1107450.

GCF of Denominators means GCF of 750,27,579 as per the given fractions.

GCF of 750,27,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,150,963

LCM of Fractions 23/750,150/27,963/579 is 369150

3 23, 150, 963
23, 50, 321

∴ So the LCM of the given numbers is 3 x 23 x 50 x 321 = 1107450

Least Common Multiple of 23,150,963 with GCF Formula

Least Common Multiple of 23,150,963 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 23,150,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,150,963) = 1

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

GCF(23,150,963) x common factors =1 x 3 = 3

LCM(23,150,963) = ( 23 × 150 × 963 ) / 3

LCM(23,150,963) = 3322350 / 3

LCM(23,150,963) = 1107450


Lets's calculate GCF of 750,27,579

3 750, 27, 579
250, 9, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1107450/3

Therefore the LCM of Fractions 23/750,150/27,963/579 is 369150

Greatest Common Factor of 750,27,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,27,579 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 750,27,579 . The biggest common factor number is the GCF number.
So the greatest common factor 750,27,579 is 3.


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 23/750, 150/27, 963/579

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 23/750, 150/27, 963/579?

Answer: LCM of Numerators as per given numbers 23/750, 150/27, 963/579 is

LCM of Numerators i.e. for 23,150,963 is 1107450

GCF of denominators i.e. for 750,27,579 is 3.

Thus, LCM of Fractions is 369150.Finally, LCM of Fractions for 23/750, 150/27, 963/579 is 369150.