Least Common Multiple of 882/566, 7221/8548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/566, 7221/8548 quickly i.e. 1061487 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/566, 7221/8548 is 1061487.

LCM(882/566, 7221/8548) = 1061487

LCM of 882/566, 7221/8548

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 882/566,7221/8548

Given numbers are 882/566,7221/8548

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 882,7221

Least Common Multiple of Numerators i.e. LCM of 882,7221 is 2122974.

GCF of Denominators means GCF of 566,8548 as per the given fractions.

GCF of 566,8548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,7221

LCM of Fractions 882/566,7221/8548 is 1061487

3 882, 7221
294, 2407

∴ So the LCM of the given numbers is 3 x 294 x 2407 = 2122974

Least Common Multiple of 882,7221 with GCF Formula

Least Common Multiple of 882,7221 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 882,7221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,7221) = 3

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

GCF(882,7221) x common factors =3 x 1 = 3

LCM(882,7221) = ( 882 × 7221 ) / 3

LCM(882,7221) = 6368922 / 3

LCM(882,7221) = 2122974


Lets's calculate GCF of 566,8548

2 566, 8548
283, 4274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2122974/2

Therefore the LCM of Fractions 882/566,7221/8548 is 1061487

Greatest Common Factor of 566,8548 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,8548 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 8548

List of positive integer factors of 8548 that divides 8548 without a remainder.

1,2,4,2137,4274,8548

Greatest Common Factor

We found the factors 566,8548 . The biggest common factor number is the GCF number.
So the greatest common factor 566,8548 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 882/566, 7221/8548

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 882/566, 7221/8548?

Answer: LCM of Numerators as per given numbers 882/566, 7221/8548 is

LCM of Numerators i.e. for 882,7221 is 2122974

GCF of denominators i.e. for 566,8548 is 2.

Thus, LCM of Fractions is 1061487.Finally, LCM of Fractions for 882/566, 7221/8548 is 1061487.