Least Common Multiple of 11/351, 68/328, 171/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/351, 68/328, 171/930 quickly i.e. 127908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/351, 68/328, 171/930 is 127908.

LCM(11/351, 68/328, 171/930) = 127908

LCM of 11/351, 68/328, 171/930

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 11/351,68/328,171/930

Given numbers are 11/351,68/328,171/930

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 11,68,171

Least Common Multiple of Numerators i.e. LCM of 11,68,171 is 127908.

GCF of Denominators means GCF of 351,328,930 as per the given fractions.

GCF of 351,328,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,68,171

LCM of Fractions 11/351,68/328,171/930 is 127908

Given numbers has no common factors except 1. So, there LCM is their product i.e 127908

Least Common Multiple of 11,68,171 with GCF Formula

Least Common Multiple of 11,68,171 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 11,68,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,68,171) = 1

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

GCF(11,68,171) x common factors =1 x 1 = 1

LCM(11,68,171) = ( 11 × 68 × 171 ) / 1

LCM(11,68,171) = 127908 / 1

LCM(11,68,171) = 127908


Lets's calculate GCF of 351,328,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127908/1

Therefore the LCM of Fractions 11/351,68/328,171/930 is 127908

Greatest Common Factor of 351,328,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,328,930 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 351,328,930 . The biggest common factor number is the GCF number.
So the greatest common factor 351,328,930 is 1.


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 11/351, 68/328, 171/930

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 11/351, 68/328, 171/930?

Answer: LCM of Numerators as per given numbers 11/351, 68/328, 171/930 is

LCM of Numerators i.e. for 11,68,171 is 127908

GCF of denominators i.e. for 351,328,930 is 1.

Thus, LCM of Fractions is 127908.Finally, LCM of Fractions for 11/351, 68/328, 171/930 is 127908.