Least Common Multiple of 873/48, 582/52, 656/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/48, 582/52, 656/450 quickly i.e. 286344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/48, 582/52, 656/450 is 286344.

LCM(873/48, 582/52, 656/450) = 286344

LCM of 873/48, 582/52, 656/450

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 873/48,582/52,656/450

Given numbers are 873/48,582/52,656/450

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 873,582,656

Least Common Multiple of Numerators i.e. LCM of 873,582,656 is 572688.

GCF of Denominators means GCF of 48,52,450 as per the given fractions.

GCF of 48,52,450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,582,656

LCM of Fractions 873/48,582/52,656/450 is 286344

2 873, 582, 656
3 873, 291, 328
97 97, 291, 328
1, 3, 328

∴ So the LCM of the given numbers is 2 x 3 x 97 x 1 x 3 x 328 = 572688

Least Common Multiple of 873,582,656 with GCF Formula

Least Common Multiple of 873,582,656 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 873,582,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,582,656) = 1

common factors(in case of two or more numbers have common factors) = 582

GCF(873,582,656) x common factors =1 x 582 = 582

LCM(873,582,656) = ( 873 × 582 × 656 ) / 582

LCM(873,582,656) = 333304416 / 582

LCM(873,582,656) = 572688


Lets's calculate GCF of 48,52,450

2 48, 52, 450
24, 26, 225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572688/2

Therefore the LCM of Fractions 873/48,582/52,656/450 is 286344

Greatest Common Factor of 48,52,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,52,450 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 48,52,450 . The biggest common factor number is the GCF number.
So the greatest common factor 48,52,450 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 873/48, 582/52, 656/450

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 873/48, 582/52, 656/450?

Answer: LCM of Numerators as per given numbers 873/48, 582/52, 656/450 is

LCM of Numerators i.e. for 873,582,656 is 572688

GCF of denominators i.e. for 48,52,450 is 2.

Thus, LCM of Fractions is 286344.Finally, LCM of Fractions for 873/48, 582/52, 656/450 is 286344.