Least Common Multiple of 44/90, 33/74, 697/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/90, 33/74, 697/482 quickly i.e. 46002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/90, 33/74, 697/482 is 46002.

LCM(44/90, 33/74, 697/482) = 46002

LCM of 44/90, 33/74, 697/482

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 44/90,33/74,697/482

Given numbers are 44/90,33/74,697/482

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 44,33,697

Least Common Multiple of Numerators i.e. LCM of 44,33,697 is 92004.

GCF of Denominators means GCF of 90,74,482 as per the given fractions.

GCF of 90,74,482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,33,697

LCM of Fractions 44/90,33/74,697/482 is 46002

11 44, 33, 697
4, 3, 697

∴ So the LCM of the given numbers is 11 x 4 x 3 x 697 = 92004

Least Common Multiple of 44,33,697 with GCF Formula

Least Common Multiple of 44,33,697 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 44,33,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,33,697) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(44,33,697) x common factors =1 x 11 = 11

LCM(44,33,697) = ( 44 × 33 × 697 ) / 11

LCM(44,33,697) = 1012044 / 11

LCM(44,33,697) = 92004


Lets's calculate GCF of 90,74,482

2 90, 74, 482
45, 37, 241

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92004/2

Therefore the LCM of Fractions 44/90,33/74,697/482 is 46002

Greatest Common Factor of 90,74,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,74,482 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 90,74,482 . The biggest common factor number is the GCF number.
So the greatest common factor 90,74,482 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 44/90, 33/74, 697/482

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 44/90, 33/74, 697/482?

Answer: LCM of Numerators as per given numbers 44/90, 33/74, 697/482 is

LCM of Numerators i.e. for 44,33,697 is 92004

GCF of denominators i.e. for 90,74,482 is 2.

Thus, LCM of Fractions is 46002.Finally, LCM of Fractions for 44/90, 33/74, 697/482 is 46002.