Least Common Multiple of 11/55, 68/59, 26/28, 16/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/55, 68/59, 26/28, 16/611 quickly i.e. 38896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/55, 68/59, 26/28, 16/611 is 38896.

LCM(11/55, 68/59, 26/28, 16/611) = 38896

LCM of 11/55, 68/59, 26/28, 16/611

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 11/55,68/59,26/28,16/611

Given numbers are 11/55,68/59,26/28,16/611

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 11,68,26,16

Least Common Multiple of Numerators i.e. LCM of 11,68,26,16 is 38896.

GCF of Denominators means GCF of 55,59,28,611 as per the given fractions.

GCF of 55,59,28,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,68,26,16

LCM of Fractions 11/55,68/59,26/28,16/611 is 38896

2 11, 68, 26, 16
2 11, 34, 13, 8
11, 17, 13, 4

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 13 x 4 = 38896

Least Common Multiple of 11,68,26,16 with GCF Formula

Least Common Multiple of 11,68,26,16 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 11,68,26,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,68,26,16) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(11,68,26,16) x common factors =1 x 8 = 8

LCM(11,68,26,16) = ( 11 × 68 × 26 × 16 ) / 8

LCM(11,68,26,16) = 311168 / 8

LCM(11,68,26,16) = 38896


Lets's calculate GCF of 55,59,28,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38896/1

Therefore the LCM of Fractions 11/55,68/59,26/28,16/611 is 38896

Greatest Common Factor of 55,59,28,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,59,28,611 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 59

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

1,59

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 55,59,28,611 . The biggest common factor number is the GCF number.
So the greatest common factor 55,59,28,611 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/55, 68/59, 26/28, 16/611

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 11/55, 68/59, 26/28, 16/611?

Answer: LCM of Numerators as per given numbers 11/55, 68/59, 26/28, 16/611 is

LCM of Numerators i.e. for 11,68,26,16 is 38896

GCF of denominators i.e. for 55,59,28,611 is 1.

Thus, LCM of Fractions is 38896.Finally, LCM of Fractions for 11/55, 68/59, 26/28, 16/611 is 38896.