Least Common Multiple of 405/290, 686/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/290, 686/320 quickly i.e. 27783 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/290, 686/320 is 27783.

LCM(405/290, 686/320) = 27783

LCM of 405/290, 686/320

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 405/290,686/320

Given numbers are 405/290,686/320

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 405,686

Least Common Multiple of Numerators i.e. LCM of 405,686 is 277830.

GCF of Denominators means GCF of 290,320 as per the given fractions.

GCF of 290,320 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,686

LCM of Fractions 405/290,686/320 is 27783

Given numbers has no common factors except 1. So, there LCM is their product i.e 277830

Least Common Multiple of 405,686 with GCF Formula

Least Common Multiple of 405,686 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 405,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,686) = 1

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

GCF(405,686) x common factors =1 x 1 = 1

LCM(405,686) = ( 405 × 686 ) / 1

LCM(405,686) = 277830 / 1

LCM(405,686) = 277830


Lets's calculate GCF of 290,320

2 290, 320
5 145, 160
29, 32

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277830/10

Therefore the LCM of Fractions 405/290,686/320 is 27783

Greatest Common Factor of 290,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,320 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

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 290,320 . The biggest common factor number is the GCF number.
So the greatest common factor 290,320 is 10.


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 405/290, 686/320

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 405/290, 686/320?

Answer: LCM of Numerators as per given numbers 405/290, 686/320 is

LCM of Numerators i.e. for 405,686 is 277830

GCF of denominators i.e. for 290,320 is 10.

Thus, LCM of Fractions is 27783.Finally, LCM of Fractions for 405/290, 686/320 is 27783.