Least Common Multiple of 93/42, 21/15, 44/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/42, 21/15, 44/553 quickly i.e. 28644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/42, 21/15, 44/553 is 28644.

LCM(93/42, 21/15, 44/553) = 28644

LCM of 93/42, 21/15, 44/553

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 93/42,21/15,44/553

Given numbers are 93/42,21/15,44/553

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 93,21,44

Least Common Multiple of Numerators i.e. LCM of 93,21,44 is 28644.

GCF of Denominators means GCF of 42,15,553 as per the given fractions.

GCF of 42,15,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,21,44

LCM of Fractions 93/42,21/15,44/553 is 28644

3 93, 21, 44
31, 7, 44

∴ So the LCM of the given numbers is 3 x 31 x 7 x 44 = 28644

Least Common Multiple of 93,21,44 with GCF Formula

Least Common Multiple of 93,21,44 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 93,21,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,21,44) = 1

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

GCF(93,21,44) x common factors =1 x 3 = 3

LCM(93,21,44) = ( 93 × 21 × 44 ) / 3

LCM(93,21,44) = 85932 / 3

LCM(93,21,44) = 28644


Lets's calculate GCF of 42,15,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28644/1

Therefore the LCM of Fractions 93/42,21/15,44/553 is 28644

Greatest Common Factor of 42,15,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,15,553 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 42,15,553 . The biggest common factor number is the GCF number.
So the greatest common factor 42,15,553 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 93/42, 21/15, 44/553

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 93/42, 21/15, 44/553?

Answer: LCM of Numerators as per given numbers 93/42, 21/15, 44/553 is

LCM of Numerators i.e. for 93,21,44 is 28644

GCF of denominators i.e. for 42,15,553 is 1.

Thus, LCM of Fractions is 28644.Finally, LCM of Fractions for 93/42, 21/15, 44/553 is 28644.