Least Common Multiple of 9750/576, 2528/5584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9750/576, 2528/5584 quickly i.e. 770250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9750/576, 2528/5584 is 770250.

LCM(9750/576, 2528/5584) = 770250

LCM of 9750/576, 2528/5584

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 9750/576,2528/5584

Given numbers are 9750/576,2528/5584

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 9750,2528

Least Common Multiple of Numerators i.e. LCM of 9750,2528 is 12324000.

GCF of Denominators means GCF of 576,5584 as per the given fractions.

GCF of 576,5584 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9750,2528

LCM of Fractions 9750/576,2528/5584 is 770250

2 9750, 2528
4875, 1264

∴ So the LCM of the given numbers is 2 x 4875 x 1264 = 12324000

Least Common Multiple of 9750,2528 with GCF Formula

Least Common Multiple of 9750,2528 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 9750,2528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9750,2528) = 2

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

GCF(9750,2528) x common factors =2 x 1 = 2

LCM(9750,2528) = ( 9750 × 2528 ) / 2

LCM(9750,2528) = 24648000 / 2

LCM(9750,2528) = 12324000


Lets's calculate GCF of 576,5584

2 576, 5584
2 288, 2792
2 144, 1396
2 72, 698
36, 349

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12324000/16

Therefore the LCM of Fractions 9750/576,2528/5584 is 770250

Greatest Common Factor of 576,5584 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,5584 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 5584

List of positive integer factors of 5584 that divides 5584 without a remainder.

1,2,4,8,16,349,698,1396,2792,5584

Greatest Common Factor

We found the factors 576,5584 . The biggest common factor number is the GCF number.
So the greatest common factor 576,5584 is 16.


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 9750/576, 2528/5584

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 9750/576, 2528/5584?

Answer: LCM of Numerators as per given numbers 9750/576, 2528/5584 is

LCM of Numerators i.e. for 9750,2528 is 12324000

GCF of denominators i.e. for 576,5584 is 16.

Thus, LCM of Fractions is 770250.Finally, LCM of Fractions for 9750/576, 2528/5584 is 770250.