Least Common Multiple of 284/24, 822/8557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/24, 822/8557 quickly i.e. 116724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/24, 822/8557 is 116724.

LCM(284/24, 822/8557) = 116724

LCM of 284/24, 822/8557

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 284/24,822/8557

Given numbers are 284/24,822/8557

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 284,822

Least Common Multiple of Numerators i.e. LCM of 284,822 is 116724.

GCF of Denominators means GCF of 24,8557 as per the given fractions.

GCF of 24,8557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,822

LCM of Fractions 284/24,822/8557 is 116724

2 284, 822
142, 411

∴ So the LCM of the given numbers is 2 x 142 x 411 = 116724

Least Common Multiple of 284,822 with GCF Formula

Least Common Multiple of 284,822 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 284,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,822) = 2

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

GCF(284,822) x common factors =2 x 1 = 2

LCM(284,822) = ( 284 × 822 ) / 2

LCM(284,822) = 233448 / 2

LCM(284,822) = 116724


Lets's calculate GCF of 24,8557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116724/1

Therefore the LCM of Fractions 284/24,822/8557 is 116724

Greatest Common Factor of 24,8557 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,8557 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 8557

List of positive integer factors of 8557 that divides 8557 without a remainder.

1,43,199,8557

Greatest Common Factor

We found the factors 24,8557 . The biggest common factor number is the GCF number.
So the greatest common factor 24,8557 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 284/24, 822/8557

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 284/24, 822/8557?

Answer: LCM of Numerators as per given numbers 284/24, 822/8557 is

LCM of Numerators i.e. for 284,822 is 116724

GCF of denominators i.e. for 24,8557 is 1.

Thus, LCM of Fractions is 116724.Finally, LCM of Fractions for 284/24, 822/8557 is 116724.