Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/78, 60/226, 396/200 quickly i.e. 3960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/78, 60/226, 396/200 is 3960.
LCM(48/78, 60/226, 396/200) = 3960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/78,60/226,396/200
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 48,60,396
Least Common Multiple of Numerators i.e. LCM of 48,60,396 is 7920.
GCF of Denominators means GCF of 78,226,200 as per the given fractions.
GCF of 78,226,200 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,60,396
2 | 48, 60, 396 |
2 | 24, 30, 198 |
3 | 12, 15, 99 |
4, 5, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 5 x 33 = 7920
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 48,60,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,60,396) = 12
common factors(in case of two or more numbers have common factors) = 12
GCF(48,60,396) x common factors =12 x 12 = 144
LCM(48,60,396) = ( 48 × 60 × 396 ) / 144
LCM(48,60,396) = 1140480 / 144
LCM(48,60,396) = 7920
Lets's calculate GCF of 78,226,200
2 | 78, 226, 200 |
39, 113, 100 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7920/2
Therefore the LCM of Fractions 48/78,60/226,396/200 is 3960
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 78,226,200 . The biggest common factor number is the GCF number.
So the greatest common factor 78,226,200 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 48/78, 60/226, 396/200?
Answer: LCM of Numerators as per given numbers 48/78, 60/226, 396/200 is
LCM of Numerators i.e. for 48,60,396 is 7920
GCF of denominators i.e. for 78,226,200 is 2.
Thus, LCM of Fractions is 3960.Finally, LCM of Fractions for 48/78, 60/226, 396/200 is 3960.