Least Common Multiple of 9609/431, 1787/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9609/431, 1787/282 quickly i.e. 17171283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9609/431, 1787/282 is 17171283.

LCM(9609/431, 1787/282) = 17171283

LCM of 9609/431, 1787/282

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 9609/431,1787/282

Given numbers are 9609/431,1787/282

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 9609,1787

Least Common Multiple of Numerators i.e. LCM of 9609,1787 is 17171283.

GCF of Denominators means GCF of 431,282 as per the given fractions.

GCF of 431,282 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9609,1787

LCM of Fractions 9609/431,1787/282 is 17171283

Given numbers has no common factors except 1. So, there LCM is their product i.e 17171283

Least Common Multiple of 9609,1787 with GCF Formula

Least Common Multiple of 9609,1787 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 9609,1787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9609,1787) = 1

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

GCF(9609,1787) x common factors =1 x 1 = 1

LCM(9609,1787) = ( 9609 × 1787 ) / 1

LCM(9609,1787) = 17171283 / 1

LCM(9609,1787) = 17171283


Lets's calculate GCF of 431,282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17171283/1

Therefore the LCM of Fractions 9609/431,1787/282 is 17171283

Greatest Common Factor of 431,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,282 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 431,282 . The biggest common factor number is the GCF number.
So the greatest common factor 431,282 is 1.


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 9609/431, 1787/282

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 9609/431, 1787/282?

Answer: LCM of Numerators as per given numbers 9609/431, 1787/282 is

LCM of Numerators i.e. for 9609,1787 is 17171283

GCF of denominators i.e. for 431,282 is 1.

Thus, LCM of Fractions is 17171283.Finally, LCM of Fractions for 9609/431, 1787/282 is 17171283.