Least Common Multiple of 3591/855, 3642/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3591/855, 3642/603 quickly i.e. 484386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3591/855, 3642/603 is 484386.

LCM(3591/855, 3642/603) = 484386

LCM of 3591/855, 3642/603

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 3591/855,3642/603

Given numbers are 3591/855,3642/603

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 3591,3642

Least Common Multiple of Numerators i.e. LCM of 3591,3642 is 4359474.

GCF of Denominators means GCF of 855,603 as per the given fractions.

GCF of 855,603 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3591,3642

LCM of Fractions 3591/855,3642/603 is 484386

3 3591, 3642
1197, 1214

∴ So the LCM of the given numbers is 3 x 1197 x 1214 = 4359474

Least Common Multiple of 3591,3642 with GCF Formula

Least Common Multiple of 3591,3642 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 3591,3642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3591,3642) = 3

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

GCF(3591,3642) x common factors =3 x 1 = 3

LCM(3591,3642) = ( 3591 × 3642 ) / 3

LCM(3591,3642) = 13078422 / 3

LCM(3591,3642) = 4359474


Lets's calculate GCF of 855,603

3 855, 603
3 285, 201
95, 67

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4359474/9

Therefore the LCM of Fractions 3591/855,3642/603 is 484386

Greatest Common Factor of 855,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,603 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 855,603 . The biggest common factor number is the GCF number.
So the greatest common factor 855,603 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3591/855, 3642/603

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 3591/855, 3642/603?

Answer: LCM of Numerators as per given numbers 3591/855, 3642/603 is

LCM of Numerators i.e. for 3591,3642 is 4359474

GCF of denominators i.e. for 855,603 is 9.

Thus, LCM of Fractions is 484386.Finally, LCM of Fractions for 3591/855, 3642/603 is 484386.