Least Common Multiple of 9733/219, 5024/8635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9733/219, 5024/8635 quickly i.e. 48898592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9733/219, 5024/8635 is 48898592.

LCM(9733/219, 5024/8635) = 48898592

LCM of 9733/219, 5024/8635

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 9733/219,5024/8635

Given numbers are 9733/219,5024/8635

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 9733,5024

Least Common Multiple of Numerators i.e. LCM of 9733,5024 is 48898592.

GCF of Denominators means GCF of 219,8635 as per the given fractions.

GCF of 219,8635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9733,5024

LCM of Fractions 9733/219,5024/8635 is 48898592

Given numbers has no common factors except 1. So, there LCM is their product i.e 48898592

Least Common Multiple of 9733,5024 with GCF Formula

Least Common Multiple of 9733,5024 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 9733,5024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9733,5024) = 1

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

GCF(9733,5024) x common factors =1 x 1 = 1

LCM(9733,5024) = ( 9733 × 5024 ) / 1

LCM(9733,5024) = 48898592 / 1

LCM(9733,5024) = 48898592


Lets's calculate GCF of 219,8635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48898592/1

Therefore the LCM of Fractions 9733/219,5024/8635 is 48898592

Greatest Common Factor of 219,8635 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,8635 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 8635

List of positive integer factors of 8635 that divides 8635 without a remainder.

1,5,11,55,157,785,1727,8635

Greatest Common Factor

We found the factors 219,8635 . The biggest common factor number is the GCF number.
So the greatest common factor 219,8635 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9733/219, 5024/8635

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 9733/219, 5024/8635?

Answer: LCM of Numerators as per given numbers 9733/219, 5024/8635 is

LCM of Numerators i.e. for 9733,5024 is 48898592

GCF of denominators i.e. for 219,8635 is 1.

Thus, LCM of Fractions is 48898592.Finally, LCM of Fractions for 9733/219, 5024/8635 is 48898592.