Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/80, 420/24, 716/660 quickly i.e. 75180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/80, 420/24, 716/660 is 75180.
LCM(48/80, 420/24, 716/660) = 75180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/80,420/24,716/660
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 48,420,716
Least Common Multiple of Numerators i.e. LCM of 48,420,716 is 300720.
GCF of Denominators means GCF of 80,24,660 as per the given fractions.
GCF of 80,24,660 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,420,716
2 | 48, 420, 716 |
2 | 24, 210, 358 |
3 | 12, 105, 179 |
4, 35, 179 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 35 x 179 = 300720
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 48,420,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,420,716) = 4
common factors(in case of two or more numbers have common factors) = 12
GCF(48,420,716) x common factors =4 x 12 = 48
LCM(48,420,716) = ( 48 × 420 × 716 ) / 48
LCM(48,420,716) = 14434560 / 48
LCM(48,420,716) = 300720
Lets's calculate GCF of 80,24,660
2 | 80, 24, 660 |
2 | 40, 12, 330 |
20, 6, 165 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300720/4
Therefore the LCM of Fractions 48/80,420/24,716/660 is 75180
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 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 80,24,660 . The biggest common factor number is the GCF number.
So the greatest common factor 80,24,660 is 4.
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 48/80, 420/24, 716/660?
Answer: LCM of Numerators as per given numbers 48/80, 420/24, 716/660 is
LCM of Numerators i.e. for 48,420,716 is 300720
GCF of denominators i.e. for 80,24,660 is 4.
Thus, LCM of Fractions is 75180.Finally, LCM of Fractions for 48/80, 420/24, 716/660 is 75180.