Least Common Multiple of 93/74, 63/90, 37/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/74, 63/90, 37/346 quickly i.e. 72261/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/74, 63/90, 37/346 is 72261/2.

LCM(93/74, 63/90, 37/346) = 72261/2

LCM of 93/74, 63/90, 37/346

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 93/74,63/90,37/346

Given numbers are 93/74,63/90,37/346

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 93,63,37

Least Common Multiple of Numerators i.e. LCM of 93,63,37 is 72261.

GCF of Denominators means GCF of 74,90,346 as per the given fractions.

GCF of 74,90,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,63,37

LCM of Fractions 93/74,63/90,37/346 is 72261/2

3 93, 63, 37
31, 21, 37

∴ So the LCM of the given numbers is 3 x 31 x 21 x 37 = 72261

Least Common Multiple of 93,63,37 with GCF Formula

Least Common Multiple of 93,63,37 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 93,63,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,63,37) = 1

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

GCF(93,63,37) x common factors =1 x 3 = 3

LCM(93,63,37) = ( 93 × 63 × 37 ) / 3

LCM(93,63,37) = 216783 / 3

LCM(93,63,37) = 72261


Lets's calculate GCF of 74,90,346

2 74, 90, 346
37, 45, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72261/2

Therefore the LCM of Fractions 93/74,63/90,37/346 is 72261/2

Greatest Common Factor of 74,90,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,90,346 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

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 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 74,90,346 . The biggest common factor number is the GCF number.
So the greatest common factor 74,90,346 is 2.


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Frequently Asked Questions on Fractional LCM of 93/74, 63/90, 37/346

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 93/74, 63/90, 37/346?

Answer: LCM of Numerators as per given numbers 93/74, 63/90, 37/346 is

LCM of Numerators i.e. for 93,63,37 is 72261

GCF of denominators i.e. for 74,90,346 is 2.

Thus, LCM of Fractions is 72261/2.Finally, LCM of Fractions for 93/74, 63/90, 37/346 is 72261/2.