Least Common Multiple of 17/41, 24/68, 92/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/41, 24/68, 92/33 quickly i.e. 9384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/41, 24/68, 92/33 is 9384.

LCM(17/41, 24/68, 92/33) = 9384

LCM of 17/41, 24/68, 92/33

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 17/41,24/68,92/33

Given numbers are 17/41,24/68,92/33

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 17,24,92

Least Common Multiple of Numerators i.e. LCM of 17,24,92 is 9384.

GCF of Denominators means GCF of 41,68,33 as per the given fractions.

GCF of 41,68,33 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,24,92

LCM of Fractions 17/41,24/68,92/33 is 9384

2 17, 24, 92
2 17, 12, 46
17, 6, 23

∴ So the LCM of the given numbers is 2 x 2 x 17 x 6 x 23 = 9384

Least Common Multiple of 17,24,92 with GCF Formula

Least Common Multiple of 17,24,92 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 17,24,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,24,92) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(17,24,92) x common factors =1 x 4 = 4

LCM(17,24,92) = ( 17 × 24 × 92 ) / 4

LCM(17,24,92) = 37536 / 4

LCM(17,24,92) = 9384


Lets's calculate GCF of 41,68,33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9384/1

Therefore the LCM of Fractions 17/41,24/68,92/33 is 9384

Greatest Common Factor of 41,68,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,68,33 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Greatest Common Factor

We found the factors 41,68,33 . The biggest common factor number is the GCF number.
So the greatest common factor 41,68,33 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/41, 24/68, 92/33

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 17/41, 24/68, 92/33?

Answer: LCM of Numerators as per given numbers 17/41, 24/68, 92/33 is

LCM of Numerators i.e. for 17,24,92 is 9384

GCF of denominators i.e. for 41,68,33 is 1.

Thus, LCM of Fractions is 9384.Finally, LCM of Fractions for 17/41, 24/68, 92/33 is 9384.