Least Common Multiple of 89/57, 57/33, 79/61, 73/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/57, 57/33, 79/61, 73/467 quickly i.e. 29255991 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/57, 57/33, 79/61, 73/467 is 29255991.

LCM(89/57, 57/33, 79/61, 73/467) = 29255991

LCM of 89/57, 57/33, 79/61, 73/467

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 89/57,57/33,79/61,73/467

Given numbers are 89/57,57/33,79/61,73/467

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 89,57,79,73

Least Common Multiple of Numerators i.e. LCM of 89,57,79,73 is 29255991.

GCF of Denominators means GCF of 57,33,61,467 as per the given fractions.

GCF of 57,33,61,467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,57,79,73

LCM of Fractions 89/57,57/33,79/61,73/467 is 29255991

Given numbers has no common factors except 1. So, there LCM is their product i.e 29255991

Least Common Multiple of 89,57,79,73 with GCF Formula

Least Common Multiple of 89,57,79,73 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 89,57,79,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,57,79,73) = 1

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

GCF(89,57,79,73) x common factors =1 x 1 = 1

LCM(89,57,79,73) = ( 89 × 57 × 79 × 73 ) / 1

LCM(89,57,79,73) = 29255991 / 1

LCM(89,57,79,73) = 29255991


Lets's calculate GCF of 57,33,61,467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29255991/1

Therefore the LCM of Fractions 89/57,57/33,79/61,73/467 is 29255991

Greatest Common Factor of 57,33,61,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,33,61,467 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 57,33,61,467 . The biggest common factor number is the GCF number.
So the greatest common factor 57,33,61,467 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/57, 57/33, 79/61, 73/467

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 89/57, 57/33, 79/61, 73/467?

Answer: LCM of Numerators as per given numbers 89/57, 57/33, 79/61, 73/467 is

LCM of Numerators i.e. for 89,57,79,73 is 29255991

GCF of denominators i.e. for 57,33,61,467 is 1.

Thus, LCM of Fractions is 29255991.Finally, LCM of Fractions for 89/57, 57/33, 79/61, 73/467 is 29255991.