Least Common Multiple of 8578/412, 4566/5562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8578/412, 4566/5562 quickly i.e. 19583574/206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8578/412, 4566/5562 is 19583574/206.

LCM(8578/412, 4566/5562) = 19583574/206

LCM of 8578/412, 4566/5562

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 8578/412,4566/5562

Given numbers are 8578/412,4566/5562

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 8578,4566

Least Common Multiple of Numerators i.e. LCM of 8578,4566 is 19583574.

GCF of Denominators means GCF of 412,5562 as per the given fractions.

GCF of 412,5562 is 206 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8578,4566

LCM of Fractions 8578/412,4566/5562 is 19583574/206

2 8578, 4566
4289, 2283

∴ So the LCM of the given numbers is 2 x 4289 x 2283 = 19583574

Least Common Multiple of 8578,4566 with GCF Formula

Least Common Multiple of 8578,4566 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 8578,4566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8578,4566) = 2

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

GCF(8578,4566) x common factors =2 x 1 = 2

LCM(8578,4566) = ( 8578 × 4566 ) / 2

LCM(8578,4566) = 39167148 / 2

LCM(8578,4566) = 19583574


Lets's calculate GCF of 412,5562

2 412, 5562
103 206, 2781
2, 27

∴ So the GCF of the given numbers is 2 x 103 = 206

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19583574/206

Therefore the LCM of Fractions 8578/412,4566/5562 is 19583574/206

Greatest Common Factor of 412,5562 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,5562 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562

Greatest Common Factor

We found the factors 412,5562 . The biggest common factor number is the GCF number.
So the greatest common factor 412,5562 is 206.


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 8578/412, 4566/5562

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 8578/412, 4566/5562?

Answer: LCM of Numerators as per given numbers 8578/412, 4566/5562 is

LCM of Numerators i.e. for 8578,4566 is 19583574

GCF of denominators i.e. for 412,5562 is 206.

Thus, LCM of Fractions is 19583574/206.Finally, LCM of Fractions for 8578/412, 4566/5562 is 19583574/206.