Least Common Multiple of 93/34, 939/51, 911/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/34, 939/51, 911/204 quickly i.e. 26518299/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/34, 939/51, 911/204 is 26518299/17.

LCM(93/34, 939/51, 911/204) = 26518299/17

LCM of 93/34, 939/51, 911/204

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 93/34,939/51,911/204

Given numbers are 93/34,939/51,911/204

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 93,939,911

Least Common Multiple of Numerators i.e. LCM of 93,939,911 is 26518299.

GCF of Denominators means GCF of 34,51,204 as per the given fractions.

GCF of 34,51,204 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,939,911

LCM of Fractions 93/34,939/51,911/204 is 26518299/17

3 93, 939, 911
31, 313, 911

∴ So the LCM of the given numbers is 3 x 31 x 313 x 911 = 26518299

Least Common Multiple of 93,939,911 with GCF Formula

Least Common Multiple of 93,939,911 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 93,939,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,939,911) = 1

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

GCF(93,939,911) x common factors =1 x 3 = 3

LCM(93,939,911) = ( 93 × 939 × 911 ) / 3

LCM(93,939,911) = 79554897 / 3

LCM(93,939,911) = 26518299


Lets's calculate GCF of 34,51,204

17 34, 51, 204
2, 3, 12

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26518299/17

Therefore the LCM of Fractions 93/34,939/51,911/204 is 26518299/17

Greatest Common Factor of 34,51,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,51,204 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 34,51,204 . The biggest common factor number is the GCF number.
So the greatest common factor 34,51,204 is 17.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 93/34, 939/51, 911/204

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 93/34, 939/51, 911/204?

Answer: LCM of Numerators as per given numbers 93/34, 939/51, 911/204 is

LCM of Numerators i.e. for 93,939,911 is 26518299

GCF of denominators i.e. for 34,51,204 is 17.

Thus, LCM of Fractions is 26518299/17.Finally, LCM of Fractions for 93/34, 939/51, 911/204 is 26518299/17.