Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/78, 215/66, 850/552 quickly i.e. 237575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/78, 215/66, 850/552 is 237575.
LCM(39/78, 215/66, 850/552) = 237575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/78,215/66,850/552
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 39,215,850
Least Common Multiple of Numerators i.e. LCM of 39,215,850 is 1425450.
GCF of Denominators means GCF of 78,66,552 as per the given fractions.
GCF of 78,66,552 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,215,850
5 | 39, 215, 850 |
39, 43, 170 |
∴ So the LCM of the given numbers is 5 x 39 x 43 x 170 = 1425450
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 39,215,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,215,850) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(39,215,850) x common factors =1 x 5 = 5
LCM(39,215,850) = ( 39 × 215 × 850 ) / 5
LCM(39,215,850) = 7127250 / 5
LCM(39,215,850) = 1425450
Lets's calculate GCF of 78,66,552
2 | 78, 66, 552 |
3 | 39, 33, 276 |
13, 11, 92 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1425450/6
Therefore the LCM of Fractions 39/78,215/66,850/552 is 237575
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 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 78,66,552 . The biggest common factor number is the GCF number.
So the greatest common factor 78,66,552 is 6.
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 39/78, 215/66, 850/552?
Answer: LCM of Numerators as per given numbers 39/78, 215/66, 850/552 is
LCM of Numerators i.e. for 39,215,850 is 1425450
GCF of denominators i.e. for 78,66,552 is 6.
Thus, LCM of Fractions is 237575.Finally, LCM of Fractions for 39/78, 215/66, 850/552 is 237575.