Least Common Multiple of 561/46, 222/3456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/46, 222/3456 quickly i.e. 20757 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/46, 222/3456 is 20757.

LCM(561/46, 222/3456) = 20757

LCM of 561/46, 222/3456

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 561/46,222/3456

Given numbers are 561/46,222/3456

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 561,222

Least Common Multiple of Numerators i.e. LCM of 561,222 is 41514.

GCF of Denominators means GCF of 46,3456 as per the given fractions.

GCF of 46,3456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,222

LCM of Fractions 561/46,222/3456 is 20757

3 561, 222
187, 74

∴ So the LCM of the given numbers is 3 x 187 x 74 = 41514

Least Common Multiple of 561,222 with GCF Formula

Least Common Multiple of 561,222 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 561,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,222) = 3

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

GCF(561,222) x common factors =3 x 1 = 3

LCM(561,222) = ( 561 × 222 ) / 3

LCM(561,222) = 124542 / 3

LCM(561,222) = 41514


Lets's calculate GCF of 46,3456

2 46, 3456
23, 1728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41514/2

Therefore the LCM of Fractions 561/46,222/3456 is 20757

Greatest Common Factor of 46,3456 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,3456 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 3456

List of positive integer factors of 3456 that divides 3456 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,288,384,432,576,864,1152,1728,3456

Greatest Common Factor

We found the factors 46,3456 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3456 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 561/46, 222/3456

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 561/46, 222/3456?

Answer: LCM of Numerators as per given numbers 561/46, 222/3456 is

LCM of Numerators i.e. for 561,222 is 41514

GCF of denominators i.e. for 46,3456 is 2.

Thus, LCM of Fractions is 20757.Finally, LCM of Fractions for 561/46, 222/3456 is 20757.