Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/44, 431/42, 972/336 quickly i.e. 14034222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/44, 431/42, 972/336 is 14034222.
LCM(67/44, 431/42, 972/336) = 14034222
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/44,431/42,972/336
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 67,431,972
Least Common Multiple of Numerators i.e. LCM of 67,431,972 is 28068444.
GCF of Denominators means GCF of 44,42,336 as per the given fractions.
GCF of 44,42,336 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,431,972
Given numbers has no common factors except 1. So, there LCM is their product i.e 28068444
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 67,431,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,431,972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,431,972) x common factors =1 x 1 = 1
LCM(67,431,972) = ( 67 × 431 × 972 ) / 1
LCM(67,431,972) = 28068444 / 1
LCM(67,431,972) = 28068444
Lets's calculate GCF of 44,42,336
2 | 44, 42, 336 |
22, 21, 168 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28068444/2
Therefore the LCM of Fractions 67/44,431/42,972/336 is 14034222
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
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 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 44,42,336 . The biggest common factor number is the GCF number.
So the greatest common factor 44,42,336 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 67/44, 431/42, 972/336?
Answer: LCM of Numerators as per given numbers 67/44, 431/42, 972/336 is
LCM of Numerators i.e. for 67,431,972 is 28068444
GCF of denominators i.e. for 44,42,336 is 2.
Thus, LCM of Fractions is 14034222.Finally, LCM of Fractions for 67/44, 431/42, 972/336 is 14034222.