Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/42, 14/12, 99/964 quickly i.e. 46431 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/42, 14/12, 99/964 is 46431.
LCM(67/42, 14/12, 99/964) = 46431
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/42,14/12,99/964
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 67,14,99
Least Common Multiple of Numerators i.e. LCM of 67,14,99 is 92862.
GCF of Denominators means GCF of 42,12,964 as per the given fractions.
GCF of 42,12,964 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,14,99
Given numbers has no common factors except 1. So, there LCM is their product i.e 92862
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 67,14,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,14,99) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,14,99) x common factors =1 x 1 = 1
LCM(67,14,99) = ( 67 × 14 × 99 ) / 1
LCM(67,14,99) = 92862 / 1
LCM(67,14,99) = 92862
Lets's calculate GCF of 42,12,964
2 | 42, 12, 964 |
21, 6, 482 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92862/2
Therefore the LCM of Fractions 67/42,14/12,99/964 is 46431
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 42,12,964 . The biggest common factor number is the GCF number.
So the greatest common factor 42,12,964 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 67/42, 14/12, 99/964?
Answer: LCM of Numerators as per given numbers 67/42, 14/12, 99/964 is
LCM of Numerators i.e. for 67,14,99 is 92862
GCF of denominators i.e. for 42,12,964 is 2.
Thus, LCM of Fractions is 46431.Finally, LCM of Fractions for 67/42, 14/12, 99/964 is 46431.