Least Common Multiple of 466/640, 931/150, 694/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/640, 931/150, 694/594 quickly i.e. 75272281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/640, 931/150, 694/594 is 75272281.

LCM(466/640, 931/150, 694/594) = 75272281

LCM of 466/640, 931/150, 694/594

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 466/640,931/150,694/594

Given numbers are 466/640,931/150,694/594

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 466,931,694

Least Common Multiple of Numerators i.e. LCM of 466,931,694 is 150544562.

GCF of Denominators means GCF of 640,150,594 as per the given fractions.

GCF of 640,150,594 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,931,694

LCM of Fractions 466/640,931/150,694/594 is 75272281

2 466, 931, 694
233, 931, 347

∴ So the LCM of the given numbers is 2 x 233 x 931 x 347 = 150544562

Least Common Multiple of 466,931,694 with GCF Formula

Least Common Multiple of 466,931,694 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 466,931,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,931,694) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(466,931,694) x common factors =1 x 2 = 2

LCM(466,931,694) = ( 466 × 931 × 694 ) / 2

LCM(466,931,694) = 301089124 / 2

LCM(466,931,694) = 150544562


Lets's calculate GCF of 640,150,594

2 640, 150, 594
320, 75, 297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150544562/2

Therefore the LCM of Fractions 466/640,931/150,694/594 is 75272281

Greatest Common Factor of 640,150,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,150,594 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 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 640,150,594 . The biggest common factor number is the GCF number.
So the greatest common factor 640,150,594 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 466/640, 931/150, 694/594

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 466/640, 931/150, 694/594?

Answer: LCM of Numerators as per given numbers 466/640, 931/150, 694/594 is

LCM of Numerators i.e. for 466,931,694 is 150544562

GCF of denominators i.e. for 640,150,594 is 2.

Thus, LCM of Fractions is 75272281.Finally, LCM of Fractions for 466/640, 931/150, 694/594 is 75272281.