Least Common Multiple of 34/561, 5664/5686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/561, 5664/5686 quickly i.e. 96288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/561, 5664/5686 is 96288.

LCM(34/561, 5664/5686) = 96288

LCM of 34/561, 5664/5686

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 34/561,5664/5686

Given numbers are 34/561,5664/5686

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 34,5664

Least Common Multiple of Numerators i.e. LCM of 34,5664 is 96288.

GCF of Denominators means GCF of 561,5686 as per the given fractions.

GCF of 561,5686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,5664

LCM of Fractions 34/561,5664/5686 is 96288

2 34, 5664
17, 2832

∴ So the LCM of the given numbers is 2 x 17 x 2832 = 96288

Least Common Multiple of 34,5664 with GCF Formula

Least Common Multiple of 34,5664 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 34,5664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,5664) = 2

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

GCF(34,5664) x common factors =2 x 1 = 2

LCM(34,5664) = ( 34 × 5664 ) / 2

LCM(34,5664) = 192576 / 2

LCM(34,5664) = 96288


Lets's calculate GCF of 561,5686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96288/1

Therefore the LCM of Fractions 34/561,5664/5686 is 96288

Greatest Common Factor of 561,5686 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,5686 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 5686

List of positive integer factors of 5686 that divides 5686 without a remainder.

1,2,2843,5686

Greatest Common Factor

We found the factors 561,5686 . The biggest common factor number is the GCF number.
So the greatest common factor 561,5686 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 34/561, 5664/5686

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 34/561, 5664/5686?

Answer: LCM of Numerators as per given numbers 34/561, 5664/5686 is

LCM of Numerators i.e. for 34,5664 is 96288

GCF of denominators i.e. for 561,5686 is 1.

Thus, LCM of Fractions is 96288.Finally, LCM of Fractions for 34/561, 5664/5686 is 96288.