Least Common Multiple of 4625/562, 4348/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4625/562, 4348/288 quickly i.e. 10054750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4625/562, 4348/288 is 10054750.

LCM(4625/562, 4348/288) = 10054750

LCM of 4625/562, 4348/288

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 4625/562,4348/288

Given numbers are 4625/562,4348/288

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 4625,4348

Least Common Multiple of Numerators i.e. LCM of 4625,4348 is 20109500.

GCF of Denominators means GCF of 562,288 as per the given fractions.

GCF of 562,288 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4625,4348

LCM of Fractions 4625/562,4348/288 is 10054750

Given numbers has no common factors except 1. So, there LCM is their product i.e 20109500

Least Common Multiple of 4625,4348 with GCF Formula

Least Common Multiple of 4625,4348 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 4625,4348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4625,4348) = 1

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

GCF(4625,4348) x common factors =1 x 1 = 1

LCM(4625,4348) = ( 4625 × 4348 ) / 1

LCM(4625,4348) = 20109500 / 1

LCM(4625,4348) = 20109500


Lets's calculate GCF of 562,288

2 562, 288
281, 144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20109500/2

Therefore the LCM of Fractions 4625/562,4348/288 is 10054750

Greatest Common Factor of 562,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,288 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 562,288 . The biggest common factor number is the GCF number.
So the greatest common factor 562,288 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 4625/562, 4348/288

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 4625/562, 4348/288?

Answer: LCM of Numerators as per given numbers 4625/562, 4348/288 is

LCM of Numerators i.e. for 4625,4348 is 20109500

GCF of denominators i.e. for 562,288 is 2.

Thus, LCM of Fractions is 10054750.Finally, LCM of Fractions for 4625/562, 4348/288 is 10054750.