Least Common Multiple of 3453/282, 1686/4491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3453/282, 1686/4491 quickly i.e. 646862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3453/282, 1686/4491 is 646862.

LCM(3453/282, 1686/4491) = 646862

LCM of 3453/282, 1686/4491

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 3453/282,1686/4491

Given numbers are 3453/282,1686/4491

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 3453,1686

Least Common Multiple of Numerators i.e. LCM of 3453,1686 is 1940586.

GCF of Denominators means GCF of 282,4491 as per the given fractions.

GCF of 282,4491 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3453,1686

LCM of Fractions 3453/282,1686/4491 is 646862

3 3453, 1686
1151, 562

∴ So the LCM of the given numbers is 3 x 1151 x 562 = 1940586

Least Common Multiple of 3453,1686 with GCF Formula

Least Common Multiple of 3453,1686 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 3453,1686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3453,1686) = 3

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

GCF(3453,1686) x common factors =3 x 1 = 3

LCM(3453,1686) = ( 3453 × 1686 ) / 3

LCM(3453,1686) = 5821758 / 3

LCM(3453,1686) = 1940586


Lets's calculate GCF of 282,4491

3 282, 4491
94, 1497

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1940586/3

Therefore the LCM of Fractions 3453/282,1686/4491 is 646862

Greatest Common Factor of 282,4491 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,4491 By Matching Biggest Common Factor Method

Factors of 282

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

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

Factors of 4491

List of positive integer factors of 4491 that divides 4491 without a remainder.

1,3,9,499,1497,4491

Greatest Common Factor

We found the factors 282,4491 . The biggest common factor number is the GCF number.
So the greatest common factor 282,4491 is 3.


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 3453/282, 1686/4491

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 3453/282, 1686/4491?

Answer: LCM of Numerators as per given numbers 3453/282, 1686/4491 is

LCM of Numerators i.e. for 3453,1686 is 1940586

GCF of denominators i.e. for 282,4491 is 3.

Thus, LCM of Fractions is 646862.Finally, LCM of Fractions for 3453/282, 1686/4491 is 646862.