Least Common Multiple of 37/475, 40/462, 806/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/475, 40/462, 806/160 quickly i.e. 596440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/475, 40/462, 806/160 is 596440.

LCM(37/475, 40/462, 806/160) = 596440

LCM of 37/475, 40/462, 806/160

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 37/475,40/462,806/160

Given numbers are 37/475,40/462,806/160

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 37,40,806

Least Common Multiple of Numerators i.e. LCM of 37,40,806 is 596440.

GCF of Denominators means GCF of 475,462,160 as per the given fractions.

GCF of 475,462,160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,40,806

LCM of Fractions 37/475,40/462,806/160 is 596440

2 37, 40, 806
37, 20, 403

∴ So the LCM of the given numbers is 2 x 37 x 20 x 403 = 596440

Least Common Multiple of 37,40,806 with GCF Formula

Least Common Multiple of 37,40,806 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 37,40,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,40,806) = 1

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

GCF(37,40,806) x common factors =1 x 2 = 2

LCM(37,40,806) = ( 37 × 40 × 806 ) / 2

LCM(37,40,806) = 1192880 / 2

LCM(37,40,806) = 596440


Lets's calculate GCF of 475,462,160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 596440/1

Therefore the LCM of Fractions 37/475,40/462,806/160 is 596440

Greatest Common Factor of 475,462,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,462,160 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 475,462,160 . The biggest common factor number is the GCF number.
So the greatest common factor 475,462,160 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 37/475, 40/462, 806/160

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 37/475, 40/462, 806/160?

Answer: LCM of Numerators as per given numbers 37/475, 40/462, 806/160 is

LCM of Numerators i.e. for 37,40,806 is 596440

GCF of denominators i.e. for 475,462,160 is 1.

Thus, LCM of Fractions is 596440.Finally, LCM of Fractions for 37/475, 40/462, 806/160 is 596440.