Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/12, 78/17, 922/45 quickly i.e. 719160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/12, 78/17, 922/45 is 719160.
LCM(40/12, 78/17, 922/45) = 719160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/12,78/17,922/45
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 40,78,922
Least Common Multiple of Numerators i.e. LCM of 40,78,922 is 719160.
GCF of Denominators means GCF of 12,17,45 as per the given fractions.
GCF of 12,17,45 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,78,922
2 | 40, 78, 922 |
20, 39, 461 |
∴ So the LCM of the given numbers is 2 x 20 x 39 x 461 = 719160
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 40,78,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,78,922) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(40,78,922) x common factors =2 x 2 = 4
LCM(40,78,922) = ( 40 × 78 × 922 ) / 4
LCM(40,78,922) = 2876640 / 4
LCM(40,78,922) = 719160
Lets's calculate GCF of 12,17,45
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 719160/1
Therefore the LCM of Fractions 40/12,78/17,922/45 is 719160
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Greatest Common Factor
We found the factors 12,17,45 . The biggest common factor number is the GCF number.
So the greatest common factor 12,17,45 is 1.
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 40/12, 78/17, 922/45?
Answer: LCM of Numerators as per given numbers 40/12, 78/17, 922/45 is
LCM of Numerators i.e. for 40,78,922 is 719160
GCF of denominators i.e. for 12,17,45 is 1.
Thus, LCM of Fractions is 719160.Finally, LCM of Fractions for 40/12, 78/17, 922/45 is 719160.