Least Common Multiple of 224/32, 996/9578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/32, 996/9578 quickly i.e. 27888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/32, 996/9578 is 27888.

LCM(224/32, 996/9578) = 27888

LCM of 224/32, 996/9578

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 224/32,996/9578

Given numbers are 224/32,996/9578

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 224,996

Least Common Multiple of Numerators i.e. LCM of 224,996 is 55776.

GCF of Denominators means GCF of 32,9578 as per the given fractions.

GCF of 32,9578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,996

LCM of Fractions 224/32,996/9578 is 27888

2 224, 996
2 112, 498
56, 249

∴ So the LCM of the given numbers is 2 x 2 x 56 x 249 = 55776

Least Common Multiple of 224,996 with GCF Formula

Least Common Multiple of 224,996 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 224,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,996) = 4

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

GCF(224,996) x common factors =4 x 1 = 4

LCM(224,996) = ( 224 × 996 ) / 4

LCM(224,996) = 223104 / 4

LCM(224,996) = 55776


Lets's calculate GCF of 32,9578

2 32, 9578
16, 4789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55776/2

Therefore the LCM of Fractions 224/32,996/9578 is 27888

Greatest Common Factor of 32,9578 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,9578 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 9578

List of positive integer factors of 9578 that divides 9578 without a remainder.

1,2,4789,9578

Greatest Common Factor

We found the factors 32,9578 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9578 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 224/32, 996/9578

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 224/32, 996/9578?

Answer: LCM of Numerators as per given numbers 224/32, 996/9578 is

LCM of Numerators i.e. for 224,996 is 55776

GCF of denominators i.e. for 32,9578 is 2.

Thus, LCM of Fractions is 27888.Finally, LCM of Fractions for 224/32, 996/9578 is 27888.