Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/80, 915/42, 915/946 quickly i.e. 11895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/80, 915/42, 915/946 is 11895.
LCM(78/80, 915/42, 915/946) = 11895
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/80,915/42,915/946
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 78,915,915
Least Common Multiple of Numerators i.e. LCM of 78,915,915 is 23790.
GCF of Denominators means GCF of 80,42,946 as per the given fractions.
GCF of 80,42,946 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,915,915
3 | 78, 915, 915 |
5 | 26, 305, 305 |
61 | 26, 61, 61 |
26, 1, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 61 x 26 x 1 x 1 = 23790
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 78,915,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,915,915) = 3
common factors(in case of two or more numbers have common factors) = 915
GCF(78,915,915) x common factors =3 x 915 = 2745
LCM(78,915,915) = ( 78 × 915 × 915 ) / 2745
LCM(78,915,915) = 65303550 / 2745
LCM(78,915,915) = 23790
Lets's calculate GCF of 80,42,946
2 | 80, 42, 946 |
40, 21, 473 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23790/2
Therefore the LCM of Fractions 78/80,915/42,915/946 is 11895
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 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 80,42,946 . The biggest common factor number is the GCF number.
So the greatest common factor 80,42,946 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 78/80, 915/42, 915/946?
Answer: LCM of Numerators as per given numbers 78/80, 915/42, 915/946 is
LCM of Numerators i.e. for 78,915,915 is 23790
GCF of denominators i.e. for 80,42,946 is 2.
Thus, LCM of Fractions is 11895.Finally, LCM of Fractions for 78/80, 915/42, 915/946 is 11895.