Least Common Multiple of 23/640, 15/894, 828/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/640, 15/894, 828/398 quickly i.e. 2070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/640, 15/894, 828/398 is 2070.

LCM(23/640, 15/894, 828/398) = 2070

LCM of 23/640, 15/894, 828/398

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 23/640,15/894,828/398

Given numbers are 23/640,15/894,828/398

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 23,15,828

Least Common Multiple of Numerators i.e. LCM of 23,15,828 is 4140.

GCF of Denominators means GCF of 640,894,398 as per the given fractions.

GCF of 640,894,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,15,828

LCM of Fractions 23/640,15/894,828/398 is 2070

3 23, 15, 828
23 23, 5, 276
1, 5, 12

∴ So the LCM of the given numbers is 3 x 23 x 1 x 5 x 12 = 4140

Least Common Multiple of 23,15,828 with GCF Formula

Least Common Multiple of 23,15,828 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 23,15,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,15,828) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(23,15,828) x common factors =1 x 69 = 69

LCM(23,15,828) = ( 23 × 15 × 828 ) / 69

LCM(23,15,828) = 285660 / 69

LCM(23,15,828) = 4140


Lets's calculate GCF of 640,894,398

2 640, 894, 398
320, 447, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4140/2

Therefore the LCM of Fractions 23/640,15/894,828/398 is 2070

Greatest Common Factor of 640,894,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,894,398 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 640,894,398 . The biggest common factor number is the GCF number.
So the greatest common factor 640,894,398 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 23/640, 15/894, 828/398

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 23/640, 15/894, 828/398?

Answer: LCM of Numerators as per given numbers 23/640, 15/894, 828/398 is

LCM of Numerators i.e. for 23,15,828 is 4140

GCF of denominators i.e. for 640,894,398 is 2.

Thus, LCM of Fractions is 2070.Finally, LCM of Fractions for 23/640, 15/894, 828/398 is 2070.