Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/70, 97/80, 62/88, 406/48 quickly i.e. 23806419 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/70, 97/80, 62/88, 406/48 is 23806419.
LCM(39/70, 97/80, 62/88, 406/48) = 23806419
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/70,97/80,62/88,406/48
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 39,97,62,406
Least Common Multiple of Numerators i.e. LCM of 39,97,62,406 is 47612838.
GCF of Denominators means GCF of 70,80,88,48 as per the given fractions.
GCF of 70,80,88,48 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,97,62,406
2 | 39, 97, 62, 406 |
39, 97, 31, 203 |
∴ So the LCM of the given numbers is 2 x 39 x 97 x 31 x 203 = 47612838
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 39,97,62,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,97,62,406) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(39,97,62,406) x common factors =1 x 2 = 2
LCM(39,97,62,406) = ( 39 × 97 × 62 × 406 ) / 2
LCM(39,97,62,406) = 95225676 / 2
LCM(39,97,62,406) = 47612838
Lets's calculate GCF of 70,80,88,48
2 | 70, 80, 88, 48 |
35, 40, 44, 24 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47612838/2
Therefore the LCM of Fractions 39/70,97/80,62/88,406/48 is 23806419
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 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Greatest Common Factor
We found the factors 70,80,88,48 . The biggest common factor number is the GCF number.
So the greatest common factor 70,80,88,48 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 39/70, 97/80, 62/88, 406/48?
Answer: LCM of Numerators as per given numbers 39/70, 97/80, 62/88, 406/48 is
LCM of Numerators i.e. for 39,97,62,406 is 47612838
GCF of denominators i.e. for 70,80,88,48 is 2.
Thus, LCM of Fractions is 23806419.Finally, LCM of Fractions for 39/70, 97/80, 62/88, 406/48 is 23806419.