Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/67, 23/36, 70/15, 72/996 quickly i.e. 637560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/67, 23/36, 70/15, 72/996 is 637560.
LCM(11/67, 23/36, 70/15, 72/996) = 637560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/67,23/36,70/15,72/996
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 11,23,70,72
Least Common Multiple of Numerators i.e. LCM of 11,23,70,72 is 637560.
GCF of Denominators means GCF of 67,36,15,996 as per the given fractions.
GCF of 67,36,15,996 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,23,70,72
2 | 11, 23, 70, 72 |
11, 23, 35, 36 |
∴ So the LCM of the given numbers is 2 x 11 x 23 x 35 x 36 = 637560
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 11,23,70,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,23,70,72) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,23,70,72) x common factors =1 x 2 = 2
LCM(11,23,70,72) = ( 11 × 23 × 70 × 72 ) / 2
LCM(11,23,70,72) = 1275120 / 2
LCM(11,23,70,72) = 637560
Lets's calculate GCF of 67,36,15,996
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 637560/1
Therefore the LCM of Fractions 11/67,23/36,70/15,72/996 is 637560
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
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 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 67,36,15,996 . The biggest common factor number is the GCF number.
So the greatest common factor 67,36,15,996 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 11/67, 23/36, 70/15, 72/996?
Answer: LCM of Numerators as per given numbers 11/67, 23/36, 70/15, 72/996 is
LCM of Numerators i.e. for 11,23,70,72 is 637560
GCF of denominators i.e. for 67,36,15,996 is 1.
Thus, LCM of Fractions is 637560.Finally, LCM of Fractions for 11/67, 23/36, 70/15, 72/996 is 637560.