Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/219, 10/785, 206/472 quickly i.e. 40170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/219, 10/785, 206/472 is 40170.
LCM(78/219, 10/785, 206/472) = 40170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/219,10/785,206/472
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 78,10,206
Least Common Multiple of Numerators i.e. LCM of 78,10,206 is 40170.
GCF of Denominators means GCF of 219,785,472 as per the given fractions.
GCF of 219,785,472 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,10,206
2 | 78, 10, 206 |
39, 5, 103 |
∴ So the LCM of the given numbers is 2 x 39 x 5 x 103 = 40170
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 78,10,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,10,206) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(78,10,206) x common factors =2 x 2 = 4
LCM(78,10,206) = ( 78 × 10 × 206 ) / 4
LCM(78,10,206) = 160680 / 4
LCM(78,10,206) = 40170
Lets's calculate GCF of 219,785,472
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40170/1
Therefore the LCM of Fractions 78/219,10/785,206/472 is 40170
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 219,785,472 . The biggest common factor number is the GCF number.
So the greatest common factor 219,785,472 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 78/219, 10/785, 206/472?
Answer: LCM of Numerators as per given numbers 78/219, 10/785, 206/472 is
LCM of Numerators i.e. for 78,10,206 is 40170
GCF of denominators i.e. for 219,785,472 is 1.
Thus, LCM of Fractions is 40170.Finally, LCM of Fractions for 78/219, 10/785, 206/472 is 40170.