Least Common Multiple of 494/40, 795/1600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/40, 795/1600 quickly i.e. 392730/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/40, 795/1600 is 392730/40.

LCM(494/40, 795/1600) = 392730/40

LCM of 494/40, 795/1600

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 494/40,795/1600

Given numbers are 494/40,795/1600

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 494,795

Least Common Multiple of Numerators i.e. LCM of 494,795 is 392730.

GCF of Denominators means GCF of 40,1600 as per the given fractions.

GCF of 40,1600 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,795

LCM of Fractions 494/40,795/1600 is 392730/40

Given numbers has no common factors except 1. So, there LCM is their product i.e 392730

Least Common Multiple of 494,795 with GCF Formula

Least Common Multiple of 494,795 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 494,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,795) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(494,795) x common factors =1 x 1 = 1

LCM(494,795) = ( 494 × 795 ) / 1

LCM(494,795) = 392730 / 1

LCM(494,795) = 392730


Lets's calculate GCF of 40,1600

2 40, 1600
2 20, 800
2 10, 400
5 5, 200
1, 40

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392730/40

Therefore the LCM of Fractions 494/40,795/1600 is 392730/40

Greatest Common Factor of 40,1600 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,1600 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600

Greatest Common Factor

We found the factors 40,1600 . The biggest common factor number is the GCF number.
So the greatest common factor 40,1600 is 40.


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 494/40, 795/1600

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 494/40, 795/1600?

Answer: LCM of Numerators as per given numbers 494/40, 795/1600 is

LCM of Numerators i.e. for 494,795 is 392730

GCF of denominators i.e. for 40,1600 is 40.

Thus, LCM of Fractions is 392730/40.Finally, LCM of Fractions for 494/40, 795/1600 is 392730/40.