Least Common Multiple of 18/93, 36/59, 42/30, 33/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/93, 36/59, 42/30, 33/641 quickly i.e. 2772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/93, 36/59, 42/30, 33/641 is 2772.

LCM(18/93, 36/59, 42/30, 33/641) = 2772

LCM of 18/93, 36/59, 42/30, 33/641

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 18/93,36/59,42/30,33/641

Given numbers are 18/93,36/59,42/30,33/641

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 18,36,42,33

Least Common Multiple of Numerators i.e. LCM of 18,36,42,33 is 2772.

GCF of Denominators means GCF of 93,59,30,641 as per the given fractions.

GCF of 93,59,30,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,36,42,33

LCM of Fractions 18/93,36/59,42/30,33/641 is 2772

2 18, 36, 42, 33
3 9, 18, 21, 33
3 3, 6, 7, 11
1, 2, 7, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 2 x 7 x 11 = 2772

Least Common Multiple of 18,36,42,33 with GCF Formula

Least Common Multiple of 18,36,42,33 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 18,36,42,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,36,42,33) = 3

common factors(in case of two or more numbers have common factors) = 108

GCF(18,36,42,33) x common factors =3 x 108 = 324

LCM(18,36,42,33) = ( 18 × 36 × 42 × 33 ) / 324

LCM(18,36,42,33) = 898128 / 324

LCM(18,36,42,33) = 2772


Lets's calculate GCF of 93,59,30,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2772/1

Therefore the LCM of Fractions 18/93,36/59,42/30,33/641 is 2772

Greatest Common Factor of 93,59,30,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,59,30,641 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 93,59,30,641 . The biggest common factor number is the GCF number.
So the greatest common factor 93,59,30,641 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/93, 36/59, 42/30, 33/641

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 18/93, 36/59, 42/30, 33/641?

Answer: LCM of Numerators as per given numbers 18/93, 36/59, 42/30, 33/641 is

LCM of Numerators i.e. for 18,36,42,33 is 2772

GCF of denominators i.e. for 93,59,30,641 is 1.

Thus, LCM of Fractions is 2772.Finally, LCM of Fractions for 18/93, 36/59, 42/30, 33/641 is 2772.