Least Common Multiple of 404/42, 600/17, 767/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 404/42, 600/17, 767/320 quickly i.e. 46480200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/42, 600/17, 767/320 is 46480200.

LCM(404/42, 600/17, 767/320) = 46480200

LCM of 404/42, 600/17, 767/320

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 404/42,600/17,767/320

Given numbers are 404/42,600/17,767/320

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 404,600,767

Least Common Multiple of Numerators i.e. LCM of 404,600,767 is 46480200.

GCF of Denominators means GCF of 42,17,320 as per the given fractions.

GCF of 42,17,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,600,767

LCM of Fractions 404/42,600/17,767/320 is 46480200

2 404, 600, 767
2 202, 300, 767
101, 150, 767

∴ So the LCM of the given numbers is 2 x 2 x 101 x 150 x 767 = 46480200

Least Common Multiple of 404,600,767 with GCF Formula

Least Common Multiple of 404,600,767 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 404,600,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,600,767) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(404,600,767) x common factors =1 x 4 = 4

LCM(404,600,767) = ( 404 × 600 × 767 ) / 4

LCM(404,600,767) = 185920800 / 4

LCM(404,600,767) = 46480200


Lets's calculate GCF of 42,17,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46480200/1

Therefore the LCM of Fractions 404/42,600/17,767/320 is 46480200

Greatest Common Factor of 42,17,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,17,320 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

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

Greatest Common Factor

We found the factors 42,17,320 . The biggest common factor number is the GCF number.
So the greatest common factor 42,17,320 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 404/42, 600/17, 767/320

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 404/42, 600/17, 767/320?

Answer: LCM of Numerators as per given numbers 404/42, 600/17, 767/320 is

LCM of Numerators i.e. for 404,600,767 is 46480200

GCF of denominators i.e. for 42,17,320 is 1.

Thus, LCM of Fractions is 46480200.Finally, LCM of Fractions for 404/42, 600/17, 767/320 is 46480200.