Least Common Multiple of 23/749, 460/573, 927/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/749, 460/573, 927/650 quickly i.e. 426420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/749, 460/573, 927/650 is 426420.

LCM(23/749, 460/573, 927/650) = 426420

LCM of 23/749, 460/573, 927/650

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 23/749,460/573,927/650

Given numbers are 23/749,460/573,927/650

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 23,460,927

Least Common Multiple of Numerators i.e. LCM of 23,460,927 is 426420.

GCF of Denominators means GCF of 749,573,650 as per the given fractions.

GCF of 749,573,650 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,460,927

LCM of Fractions 23/749,460/573,927/650 is 426420

23 23, 460, 927
1, 20, 927

∴ So the LCM of the given numbers is 23 x 1 x 20 x 927 = 426420

Least Common Multiple of 23,460,927 with GCF Formula

Least Common Multiple of 23,460,927 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 23,460,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,460,927) = 1

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

GCF(23,460,927) x common factors =1 x 23 = 23

LCM(23,460,927) = ( 23 × 460 × 927 ) / 23

LCM(23,460,927) = 9807660 / 23

LCM(23,460,927) = 426420


Lets's calculate GCF of 749,573,650

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426420/1

Therefore the LCM of Fractions 23/749,460/573,927/650 is 426420

Greatest Common Factor of 749,573,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,573,650 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 749,573,650 . The biggest common factor number is the GCF number.
So the greatest common factor 749,573,650 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 23/749, 460/573, 927/650

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 23/749, 460/573, 927/650?

Answer: LCM of Numerators as per given numbers 23/749, 460/573, 927/650 is

LCM of Numerators i.e. for 23,460,927 is 426420

GCF of denominators i.e. for 749,573,650 is 1.

Thus, LCM of Fractions is 426420.Finally, LCM of Fractions for 23/749, 460/573, 927/650 is 426420.