Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 678/43, 478/90, 189/690 quickly i.e. 10208646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 678/43, 478/90, 189/690 is 10208646.
LCM(678/43, 478/90, 189/690) = 10208646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 678/43,478/90,189/690
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 678,478,189
Least Common Multiple of Numerators i.e. LCM of 678,478,189 is 10208646.
GCF of Denominators means GCF of 43,90,690 as per the given fractions.
GCF of 43,90,690 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 678,478,189
2 | 678, 478, 189 |
3 | 339, 239, 189 |
113, 239, 63 |
∴ So the LCM of the given numbers is 2 x 3 x 113 x 239 x 63 = 10208646
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 678,478,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,478,189) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(678,478,189) x common factors =1 x 6 = 6
LCM(678,478,189) = ( 678 × 478 × 189 ) / 6
LCM(678,478,189) = 61251876 / 6
LCM(678,478,189) = 10208646
Lets's calculate GCF of 43,90,690
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10208646/1
Therefore the LCM of Fractions 678/43,478/90,189/690 is 10208646
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 43,90,690 . The biggest common factor number is the GCF number.
So the greatest common factor 43,90,690 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 678/43, 478/90, 189/690?
Answer: LCM of Numerators as per given numbers 678/43, 478/90, 189/690 is
LCM of Numerators i.e. for 678,478,189 is 10208646
GCF of denominators i.e. for 43,90,690 is 1.
Thus, LCM of Fractions is 10208646.Finally, LCM of Fractions for 678/43, 478/90, 189/690 is 10208646.