Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/70, 23/40, 94/614 quickly i.e. 17296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/70, 23/40, 94/614 is 17296.
LCM(32/70, 23/40, 94/614) = 17296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/70,23/40,94/614
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 32,23,94
Least Common Multiple of Numerators i.e. LCM of 32,23,94 is 34592.
GCF of Denominators means GCF of 70,40,614 as per the given fractions.
GCF of 70,40,614 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,23,94
2 | 32, 23, 94 |
16, 23, 47 |
∴ So the LCM of the given numbers is 2 x 16 x 23 x 47 = 34592
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 32,23,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,23,94) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,23,94) x common factors =1 x 2 = 2
LCM(32,23,94) = ( 32 × 23 × 94 ) / 2
LCM(32,23,94) = 69184 / 2
LCM(32,23,94) = 34592
Lets's calculate GCF of 70,40,614
2 | 70, 40, 614 |
35, 20, 307 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34592/2
Therefore the LCM of Fractions 32/70,23/40,94/614 is 17296
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 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Greatest Common Factor
We found the factors 70,40,614 . The biggest common factor number is the GCF number.
So the greatest common factor 70,40,614 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 32/70, 23/40, 94/614?
Answer: LCM of Numerators as per given numbers 32/70, 23/40, 94/614 is
LCM of Numerators i.e. for 32,23,94 is 34592
GCF of denominators i.e. for 70,40,614 is 2.
Thus, LCM of Fractions is 17296.Finally, LCM of Fractions for 32/70, 23/40, 94/614 is 17296.