Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/36, 66/67, 10/11, 69/136 quickly i.e. 7590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/36, 66/67, 10/11, 69/136 is 7590.
LCM(55/36, 66/67, 10/11, 69/136) = 7590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/36,66/67,10/11,69/136
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 55,66,10,69
Least Common Multiple of Numerators i.e. LCM of 55,66,10,69 is 7590.
GCF of Denominators means GCF of 36,67,11,136 as per the given fractions.
GCF of 36,67,11,136 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,66,10,69
2 | 55, 66, 10, 69 |
3 | 55, 33, 5, 69 |
5 | 55, 11, 5, 23 |
11 | 11, 11, 1, 23 |
1, 1, 1, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 1 x 1 x 23 = 7590
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 55,66,10,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,66,10,69) = 1
common factors(in case of two or more numbers have common factors) = 330
GCF(55,66,10,69) x common factors =1 x 330 = 330
LCM(55,66,10,69) = ( 55 × 66 × 10 × 69 ) / 330
LCM(55,66,10,69) = 2504700 / 330
LCM(55,66,10,69) = 7590
Lets's calculate GCF of 36,67,11,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7590/1
Therefore the LCM of Fractions 55/36,66/67,10/11,69/136 is 7590
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 36,67,11,136 . The biggest common factor number is the GCF number.
So the greatest common factor 36,67,11,136 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 55/36, 66/67, 10/11, 69/136?
Answer: LCM of Numerators as per given numbers 55/36, 66/67, 10/11, 69/136 is
LCM of Numerators i.e. for 55,66,10,69 is 7590
GCF of denominators i.e. for 36,67,11,136 is 1.
Thus, LCM of Fractions is 7590.Finally, LCM of Fractions for 55/36, 66/67, 10/11, 69/136 is 7590.