Least Common Multiple of 87/683, 665/594, 533/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/683, 665/594, 533/330 quickly i.e. 30836715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/683, 665/594, 533/330 is 30836715.

LCM(87/683, 665/594, 533/330) = 30836715

LCM of 87/683, 665/594, 533/330

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 87/683,665/594,533/330

Given numbers are 87/683,665/594,533/330

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 87,665,533

Least Common Multiple of Numerators i.e. LCM of 87,665,533 is 30836715.

GCF of Denominators means GCF of 683,594,330 as per the given fractions.

GCF of 683,594,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,665,533

LCM of Fractions 87/683,665/594,533/330 is 30836715

Given numbers has no common factors except 1. So, there LCM is their product i.e 30836715

Least Common Multiple of 87,665,533 with GCF Formula

Least Common Multiple of 87,665,533 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 87,665,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,665,533) = 1

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

GCF(87,665,533) x common factors =1 x 1 = 1

LCM(87,665,533) = ( 87 × 665 × 533 ) / 1

LCM(87,665,533) = 30836715 / 1

LCM(87,665,533) = 30836715


Lets's calculate GCF of 683,594,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30836715/1

Therefore the LCM of Fractions 87/683,665/594,533/330 is 30836715

Greatest Common Factor of 683,594,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,594,330 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 683,594,330 . The biggest common factor number is the GCF number.
So the greatest common factor 683,594,330 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/683, 665/594, 533/330

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 87/683, 665/594, 533/330?

Answer: LCM of Numerators as per given numbers 87/683, 665/594, 533/330 is

LCM of Numerators i.e. for 87,665,533 is 30836715

GCF of denominators i.e. for 683,594,330 is 1.

Thus, LCM of Fractions is 30836715.Finally, LCM of Fractions for 87/683, 665/594, 533/330 is 30836715.