Least Common Multiple of 87/622, 33/590, 552/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/622, 33/590, 552/893 quickly i.e. 176088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/622, 33/590, 552/893 is 176088.

LCM(87/622, 33/590, 552/893) = 176088

LCM of 87/622, 33/590, 552/893

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 87/622,33/590,552/893

Given numbers are 87/622,33/590,552/893

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 87,33,552

Least Common Multiple of Numerators i.e. LCM of 87,33,552 is 176088.

GCF of Denominators means GCF of 622,590,893 as per the given fractions.

GCF of 622,590,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,33,552

LCM of Fractions 87/622,33/590,552/893 is 176088

3 87, 33, 552
29, 11, 184

∴ So the LCM of the given numbers is 3 x 29 x 11 x 184 = 176088

Least Common Multiple of 87,33,552 with GCF Formula

Least Common Multiple of 87,33,552 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 87,33,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,33,552) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(87,33,552) x common factors =3 x 3 = 9

LCM(87,33,552) = ( 87 × 33 × 552 ) / 9

LCM(87,33,552) = 1584792 / 9

LCM(87,33,552) = 176088


Lets's calculate GCF of 622,590,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176088/1

Therefore the LCM of Fractions 87/622,33/590,552/893 is 176088

Greatest Common Factor of 622,590,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,590,893 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 622,590,893 . The biggest common factor number is the GCF number.
So the greatest common factor 622,590,893 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/622, 33/590, 552/893

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 87/622, 33/590, 552/893?

Answer: LCM of Numerators as per given numbers 87/622, 33/590, 552/893 is

LCM of Numerators i.e. for 87,33,552 is 176088

GCF of denominators i.e. for 622,590,893 is 1.

Thus, LCM of Fractions is 176088.Finally, LCM of Fractions for 87/622, 33/590, 552/893 is 176088.