Least Common Multiple of 9269/581, 1389/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9269/581, 1389/483 quickly i.e. 12874641/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9269/581, 1389/483 is 12874641/7.

LCM(9269/581, 1389/483) = 12874641/7

LCM of 9269/581, 1389/483

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 9269/581,1389/483

Given numbers are 9269/581,1389/483

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 9269,1389

Least Common Multiple of Numerators i.e. LCM of 9269,1389 is 12874641.

GCF of Denominators means GCF of 581,483 as per the given fractions.

GCF of 581,483 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9269,1389

LCM of Fractions 9269/581,1389/483 is 12874641/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 12874641

Least Common Multiple of 9269,1389 with GCF Formula

Least Common Multiple of 9269,1389 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 9269,1389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9269,1389) = 1

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

GCF(9269,1389) x common factors =1 x 1 = 1

LCM(9269,1389) = ( 9269 × 1389 ) / 1

LCM(9269,1389) = 12874641 / 1

LCM(9269,1389) = 12874641


Lets's calculate GCF of 581,483

7 581, 483
83, 69

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12874641/7

Therefore the LCM of Fractions 9269/581,1389/483 is 12874641/7

Greatest Common Factor of 581,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,483 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 581,483 . The biggest common factor number is the GCF number.
So the greatest common factor 581,483 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9269/581, 1389/483

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 9269/581, 1389/483?

Answer: LCM of Numerators as per given numbers 9269/581, 1389/483 is

LCM of Numerators i.e. for 9269,1389 is 12874641

GCF of denominators i.e. for 581,483 is 7.

Thus, LCM of Fractions is 12874641/7.Finally, LCM of Fractions for 9269/581, 1389/483 is 12874641/7.