Least Common Multiple of 48/534, 483/568, 219/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/534, 483/568, 219/647 quickly i.e. 564144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/534, 483/568, 219/647 is 564144.

LCM(48/534, 483/568, 219/647) = 564144

LCM of 48/534, 483/568, 219/647

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 48/534,483/568,219/647

Given numbers are 48/534,483/568,219/647

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 48,483,219

Least Common Multiple of Numerators i.e. LCM of 48,483,219 is 564144.

GCF of Denominators means GCF of 534,568,647 as per the given fractions.

GCF of 534,568,647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,483,219

LCM of Fractions 48/534,483/568,219/647 is 564144

3 48, 483, 219
16, 161, 73

∴ So the LCM of the given numbers is 3 x 16 x 161 x 73 = 564144

Least Common Multiple of 48,483,219 with GCF Formula

Least Common Multiple of 48,483,219 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 48,483,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,483,219) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(48,483,219) x common factors =3 x 3 = 9

LCM(48,483,219) = ( 48 × 483 × 219 ) / 9

LCM(48,483,219) = 5077296 / 9

LCM(48,483,219) = 564144


Lets's calculate GCF of 534,568,647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564144/1

Therefore the LCM of Fractions 48/534,483/568,219/647 is 564144

Greatest Common Factor of 534,568,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,568,647 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 534,568,647 . The biggest common factor number is the GCF number.
So the greatest common factor 534,568,647 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 48/534, 483/568, 219/647

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 48/534, 483/568, 219/647?

Answer: LCM of Numerators as per given numbers 48/534, 483/568, 219/647 is

LCM of Numerators i.e. for 48,483,219 is 564144

GCF of denominators i.e. for 534,568,647 is 1.

Thus, LCM of Fractions is 564144.Finally, LCM of Fractions for 48/534, 483/568, 219/647 is 564144.