Least Common Multiple of 69/20, 42/32, 56/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/20, 42/32, 56/287 quickly i.e. 3864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/20, 42/32, 56/287 is 3864.

LCM(69/20, 42/32, 56/287) = 3864

LCM of 69/20, 42/32, 56/287

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 69/20,42/32,56/287

Given numbers are 69/20,42/32,56/287

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 69,42,56

Least Common Multiple of Numerators i.e. LCM of 69,42,56 is 3864.

GCF of Denominators means GCF of 20,32,287 as per the given fractions.

GCF of 20,32,287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,42,56

LCM of Fractions 69/20,42/32,56/287 is 3864

2 69, 42, 56
3 69, 21, 28
7 23, 7, 28
23, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 1 x 4 = 3864

Least Common Multiple of 69,42,56 with GCF Formula

Least Common Multiple of 69,42,56 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 69,42,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,42,56) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(69,42,56) x common factors =1 x 42 = 42

LCM(69,42,56) = ( 69 × 42 × 56 ) / 42

LCM(69,42,56) = 162288 / 42

LCM(69,42,56) = 3864


Lets's calculate GCF of 20,32,287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3864/1

Therefore the LCM of Fractions 69/20,42/32,56/287 is 3864

Greatest Common Factor of 20,32,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,32,287 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 20,32,287 . The biggest common factor number is the GCF number.
So the greatest common factor 20,32,287 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 69/20, 42/32, 56/287

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 69/20, 42/32, 56/287?

Answer: LCM of Numerators as per given numbers 69/20, 42/32, 56/287 is

LCM of Numerators i.e. for 69,42,56 is 3864

GCF of denominators i.e. for 20,32,287 is 1.

Thus, LCM of Fractions is 3864.Finally, LCM of Fractions for 69/20, 42/32, 56/287 is 3864.