Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 735/45, 684/78, 989/39 quickly i.e. 55245540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 735/45, 684/78, 989/39 is 55245540.
LCM(735/45, 684/78, 989/39) = 55245540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 735/45,684/78,989/39
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 735,684,989
Least Common Multiple of Numerators i.e. LCM of 735,684,989 is 165736620.
GCF of Denominators means GCF of 45,78,39 as per the given fractions.
GCF of 45,78,39 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 735,684,989
3 | 735, 684, 989 |
245, 228, 989 |
∴ So the LCM of the given numbers is 3 x 245 x 228 x 989 = 165736620
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 735,684,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,684,989) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(735,684,989) x common factors =1 x 3 = 3
LCM(735,684,989) = ( 735 × 684 × 989 ) / 3
LCM(735,684,989) = 497209860 / 3
LCM(735,684,989) = 165736620
Lets's calculate GCF of 45,78,39
3 | 45, 78, 39 |
15, 26, 13 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165736620/3
Therefore the LCM of Fractions 735/45,684/78,989/39 is 55245540
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
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 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Greatest Common Factor
We found the factors 45,78,39 . The biggest common factor number is the GCF number.
So the greatest common factor 45,78,39 is 3.
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 735/45, 684/78, 989/39?
Answer: LCM of Numerators as per given numbers 735/45, 684/78, 989/39 is
LCM of Numerators i.e. for 735,684,989 is 165736620
GCF of denominators i.e. for 45,78,39 is 3.
Thus, LCM of Fractions is 55245540.Finally, LCM of Fractions for 735/45, 684/78, 989/39 is 55245540.