Least Common Multiple of 37/43, 33/10, 90/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/43, 33/10, 90/621 quickly i.e. 36630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/43, 33/10, 90/621 is 36630.

LCM(37/43, 33/10, 90/621) = 36630

LCM of 37/43, 33/10, 90/621

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 37/43,33/10,90/621

Given numbers are 37/43,33/10,90/621

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 37,33,90

Least Common Multiple of Numerators i.e. LCM of 37,33,90 is 36630.

GCF of Denominators means GCF of 43,10,621 as per the given fractions.

GCF of 43,10,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,33,90

LCM of Fractions 37/43,33/10,90/621 is 36630

3 37, 33, 90
37, 11, 30

∴ So the LCM of the given numbers is 3 x 37 x 11 x 30 = 36630

Least Common Multiple of 37,33,90 with GCF Formula

Least Common Multiple of 37,33,90 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 37,33,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,33,90) = 1

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

GCF(37,33,90) x common factors =1 x 3 = 3

LCM(37,33,90) = ( 37 × 33 × 90 ) / 3

LCM(37,33,90) = 109890 / 3

LCM(37,33,90) = 36630


Lets's calculate GCF of 43,10,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36630/1

Therefore the LCM of Fractions 37/43,33/10,90/621 is 36630

Greatest Common Factor of 43,10,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,10,621 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 43,10,621 . The biggest common factor number is the GCF number.
So the greatest common factor 43,10,621 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/43, 33/10, 90/621

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 37/43, 33/10, 90/621?

Answer: LCM of Numerators as per given numbers 37/43, 33/10, 90/621 is

LCM of Numerators i.e. for 37,33,90 is 36630

GCF of denominators i.e. for 43,10,621 is 1.

Thus, LCM of Fractions is 36630.Finally, LCM of Fractions for 37/43, 33/10, 90/621 is 36630.