Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 950/97, 279/12, 405/59 quickly i.e. 2385450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 950/97, 279/12, 405/59 is 2385450.
LCM(950/97, 279/12, 405/59) = 2385450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 950/97,279/12,405/59
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 950,279,405
Least Common Multiple of Numerators i.e. LCM of 950,279,405 is 2385450.
GCF of Denominators means GCF of 97,12,59 as per the given fractions.
GCF of 97,12,59 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 950,279,405
3 | 950, 279, 405 |
3 | 950, 93, 135 |
5 | 950, 31, 45 |
190, 31, 9 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 190 x 31 x 9 = 2385450
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 950,279,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,279,405) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(950,279,405) x common factors =1 x 45 = 45
LCM(950,279,405) = ( 950 × 279 × 405 ) / 45
LCM(950,279,405) = 107345250 / 45
LCM(950,279,405) = 2385450
Lets's calculate GCF of 97,12,59
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2385450/1
Therefore the LCM of Fractions 950/97,279/12,405/59 is 2385450
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Greatest Common Factor
We found the factors 97,12,59 . The biggest common factor number is the GCF number.
So the greatest common factor 97,12,59 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 950/97, 279/12, 405/59?
Answer: LCM of Numerators as per given numbers 950/97, 279/12, 405/59 is
LCM of Numerators i.e. for 950,279,405 is 2385450
GCF of denominators i.e. for 97,12,59 is 1.
Thus, LCM of Fractions is 2385450.Finally, LCM of Fractions for 950/97, 279/12, 405/59 is 2385450.