Least Common Multiple of 4801/825, 1147/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4801/825, 1147/593 quickly i.e. 5506747 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4801/825, 1147/593 is 5506747.

LCM(4801/825, 1147/593) = 5506747

LCM of 4801/825, 1147/593

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 4801/825,1147/593

Given numbers are 4801/825,1147/593

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 4801,1147

Least Common Multiple of Numerators i.e. LCM of 4801,1147 is 5506747.

GCF of Denominators means GCF of 825,593 as per the given fractions.

GCF of 825,593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4801,1147

LCM of Fractions 4801/825,1147/593 is 5506747

Given numbers has no common factors except 1. So, there LCM is their product i.e 5506747

Least Common Multiple of 4801,1147 with GCF Formula

Least Common Multiple of 4801,1147 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 4801,1147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4801,1147) = 1

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

GCF(4801,1147) x common factors =1 x 1 = 1

LCM(4801,1147) = ( 4801 × 1147 ) / 1

LCM(4801,1147) = 5506747 / 1

LCM(4801,1147) = 5506747


Lets's calculate GCF of 825,593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5506747/1

Therefore the LCM of Fractions 4801/825,1147/593 is 5506747

Greatest Common Factor of 825,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,593 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 825,593 . The biggest common factor number is the GCF number.
So the greatest common factor 825,593 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4801/825, 1147/593

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 4801/825, 1147/593?

Answer: LCM of Numerators as per given numbers 4801/825, 1147/593 is

LCM of Numerators i.e. for 4801,1147 is 5506747

GCF of denominators i.e. for 825,593 is 1.

Thus, LCM of Fractions is 5506747.Finally, LCM of Fractions for 4801/825, 1147/593 is 5506747.