Least Common Multiple of 365/20, 685/1066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 365/20, 685/1066 quickly i.e. 50005/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/20, 685/1066 is 50005/2.

LCM(365/20, 685/1066) = 50005/2

LCM of 365/20, 685/1066

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 365/20,685/1066

Given numbers are 365/20,685/1066

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 365,685

Least Common Multiple of Numerators i.e. LCM of 365,685 is 50005.

GCF of Denominators means GCF of 20,1066 as per the given fractions.

GCF of 20,1066 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,685

LCM of Fractions 365/20,685/1066 is 50005/2

5 365, 685
73, 137

∴ So the LCM of the given numbers is 5 x 73 x 137 = 50005

Least Common Multiple of 365,685 with GCF Formula

Least Common Multiple of 365,685 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 365,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,685) = 5

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

GCF(365,685) x common factors =5 x 1 = 5

LCM(365,685) = ( 365 × 685 ) / 5

LCM(365,685) = 250025 / 5

LCM(365,685) = 50005


Lets's calculate GCF of 20,1066

2 20, 1066
10, 533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50005/2

Therefore the LCM of Fractions 365/20,685/1066 is 50005/2

Greatest Common Factor of 20,1066 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,1066 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 1066

List of positive integer factors of 1066 that divides 1066 without a remainder.

1,2,13,26,41,82,533,1066

Greatest Common Factor

We found the factors 20,1066 . The biggest common factor number is the GCF number.
So the greatest common factor 20,1066 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 365/20, 685/1066

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 365/20, 685/1066?

Answer: LCM of Numerators as per given numbers 365/20, 685/1066 is

LCM of Numerators i.e. for 365,685 is 50005

GCF of denominators i.e. for 20,1066 is 2.

Thus, LCM of Fractions is 50005/2.Finally, LCM of Fractions for 365/20, 685/1066 is 50005/2.