Least Common Multiple of 11/738, 71/927, 755/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/738, 71/927, 755/102 quickly i.e. 589655/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/738, 71/927, 755/102 is 589655/3.

LCM(11/738, 71/927, 755/102) = 589655/3

LCM of 11/738, 71/927, 755/102

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 11/738,71/927,755/102

Given numbers are 11/738,71/927,755/102

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 11,71,755

Least Common Multiple of Numerators i.e. LCM of 11,71,755 is 589655.

GCF of Denominators means GCF of 738,927,102 as per the given fractions.

GCF of 738,927,102 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,71,755

LCM of Fractions 11/738,71/927,755/102 is 589655/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 589655

Least Common Multiple of 11,71,755 with GCF Formula

Least Common Multiple of 11,71,755 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 11,71,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,71,755) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,71,755) x common factors =1 x 1 = 1

LCM(11,71,755) = ( 11 × 71 × 755 ) / 1

LCM(11,71,755) = 589655 / 1

LCM(11,71,755) = 589655


Lets's calculate GCF of 738,927,102

3 738, 927, 102
246, 309, 34

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589655/3

Therefore the LCM of Fractions 11/738,71/927,755/102 is 589655/3

Greatest Common Factor of 738,927,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,927,102 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 738,927,102 . The biggest common factor number is the GCF number.
So the greatest common factor 738,927,102 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 11/738, 71/927, 755/102

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 11/738, 71/927, 755/102?

Answer: LCM of Numerators as per given numbers 11/738, 71/927, 755/102 is

LCM of Numerators i.e. for 11,71,755 is 589655

GCF of denominators i.e. for 738,927,102 is 3.

Thus, LCM of Fractions is 589655/3.Finally, LCM of Fractions for 11/738, 71/927, 755/102 is 589655/3.