Least Common Multiple of 36/14, 75/61, 31/20, 47/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/14, 75/61, 31/20, 47/565 quickly i.e. 1311300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/14, 75/61, 31/20, 47/565 is 1311300.

LCM(36/14, 75/61, 31/20, 47/565) = 1311300

LCM of 36/14, 75/61, 31/20, 47/565

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 36/14,75/61,31/20,47/565

Given numbers are 36/14,75/61,31/20,47/565

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 36,75,31,47

Least Common Multiple of Numerators i.e. LCM of 36,75,31,47 is 1311300.

GCF of Denominators means GCF of 14,61,20,565 as per the given fractions.

GCF of 14,61,20,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,75,31,47

LCM of Fractions 36/14,75/61,31/20,47/565 is 1311300

3 36, 75, 31, 47
12, 25, 31, 47

∴ So the LCM of the given numbers is 3 x 12 x 25 x 31 x 47 = 1311300

Least Common Multiple of 36,75,31,47 with GCF Formula

Least Common Multiple of 36,75,31,47 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 36,75,31,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,75,31,47) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,75,31,47) x common factors =1 x 3 = 3

LCM(36,75,31,47) = ( 36 × 75 × 31 × 47 ) / 3

LCM(36,75,31,47) = 3933900 / 3

LCM(36,75,31,47) = 1311300


Lets's calculate GCF of 14,61,20,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1311300/1

Therefore the LCM of Fractions 36/14,75/61,31/20,47/565 is 1311300

Greatest Common Factor of 14,61,20,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,61,20,565 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 20

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

1,2,4,5,10,20

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 14,61,20,565 . The biggest common factor number is the GCF number.
So the greatest common factor 14,61,20,565 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 36/14, 75/61, 31/20, 47/565

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 36/14, 75/61, 31/20, 47/565?

Answer: LCM of Numerators as per given numbers 36/14, 75/61, 31/20, 47/565 is

LCM of Numerators i.e. for 36,75,31,47 is 1311300

GCF of denominators i.e. for 14,61,20,565 is 1.

Thus, LCM of Fractions is 1311300.Finally, LCM of Fractions for 36/14, 75/61, 31/20, 47/565 is 1311300.