Least Common Multiple of 843/481, 4683/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 843/481, 4683/975 quickly i.e. 1315923/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/481, 4683/975 is 1315923/13.

LCM(843/481, 4683/975) = 1315923/13

LCM of 843/481, 4683/975

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 843/481,4683/975

Given numbers are 843/481,4683/975

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 843,4683

Least Common Multiple of Numerators i.e. LCM of 843,4683 is 1315923.

GCF of Denominators means GCF of 481,975 as per the given fractions.

GCF of 481,975 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,4683

LCM of Fractions 843/481,4683/975 is 1315923/13

3 843, 4683
281, 1561

∴ So the LCM of the given numbers is 3 x 281 x 1561 = 1315923

Least Common Multiple of 843,4683 with GCF Formula

Least Common Multiple of 843,4683 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 843,4683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,4683) = 3

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

GCF(843,4683) x common factors =3 x 1 = 3

LCM(843,4683) = ( 843 × 4683 ) / 3

LCM(843,4683) = 3947769 / 3

LCM(843,4683) = 1315923


Lets's calculate GCF of 481,975

13 481, 975
37, 75

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1315923/13

Therefore the LCM of Fractions 843/481,4683/975 is 1315923/13

Greatest Common Factor of 481,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,975 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 481,975 . The biggest common factor number is the GCF number.
So the greatest common factor 481,975 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 843/481, 4683/975

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 843/481, 4683/975?

Answer: LCM of Numerators as per given numbers 843/481, 4683/975 is

LCM of Numerators i.e. for 843,4683 is 1315923

GCF of denominators i.e. for 481,975 is 13.

Thus, LCM of Fractions is 1315923/13.Finally, LCM of Fractions for 843/481, 4683/975 is 1315923/13.