Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/36, 69/86, 60/70, 72/110 quickly i.e. 33120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/36, 69/86, 60/70, 72/110 is 33120.
LCM(64/36, 69/86, 60/70, 72/110) = 33120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/36,69/86,60/70,72/110
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 64,69,60,72
Least Common Multiple of Numerators i.e. LCM of 64,69,60,72 is 66240.
GCF of Denominators means GCF of 36,86,70,110 as per the given fractions.
GCF of 36,86,70,110 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,69,60,72
2 | 64, 69, 60, 72 |
2 | 32, 69, 30, 36 |
2 | 16, 69, 15, 18 |
3 | 8, 69, 15, 9 |
8, 23, 5, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 8 x 23 x 5 x 3 = 66240
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 64,69,60,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,69,60,72) = 1
common factors(in case of two or more numbers have common factors) = 288
GCF(64,69,60,72) x common factors =1 x 288 = 288
LCM(64,69,60,72) = ( 64 × 69 × 60 × 72 ) / 288
LCM(64,69,60,72) = 19077120 / 288
LCM(64,69,60,72) = 66240
Lets's calculate GCF of 36,86,70,110
2 | 36, 86, 70, 110 |
18, 43, 35, 55 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66240/2
Therefore the LCM of Fractions 64/36,69/86,60/70,72/110 is 33120
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 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 36,86,70,110 . The biggest common factor number is the GCF number.
So the greatest common factor 36,86,70,110 is 2.
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 64/36, 69/86, 60/70, 72/110?
Answer: LCM of Numerators as per given numbers 64/36, 69/86, 60/70, 72/110 is
LCM of Numerators i.e. for 64,69,60,72 is 66240
GCF of denominators i.e. for 36,86,70,110 is 2.
Thus, LCM of Fractions is 33120.Finally, LCM of Fractions for 64/36, 69/86, 60/70, 72/110 is 33120.