Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/935, 60/203, 832/587 quickly i.e. 237120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/935, 60/203, 832/587 is 237120.
LCM(95/935, 60/203, 832/587) = 237120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/935,60/203,832/587
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 95,60,832
Least Common Multiple of Numerators i.e. LCM of 95,60,832 is 237120.
GCF of Denominators means GCF of 935,203,587 as per the given fractions.
GCF of 935,203,587 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,60,832
2 | 95, 60, 832 |
2 | 95, 30, 416 |
5 | 95, 15, 208 |
19, 3, 208 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 3 x 208 = 237120
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 95,60,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,60,832) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(95,60,832) x common factors =1 x 20 = 20
LCM(95,60,832) = ( 95 × 60 × 832 ) / 20
LCM(95,60,832) = 4742400 / 20
LCM(95,60,832) = 237120
Lets's calculate GCF of 935,203,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237120/1
Therefore the LCM of Fractions 95/935,60/203,832/587 is 237120
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 935,203,587 . The biggest common factor number is the GCF number.
So the greatest common factor 935,203,587 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 95/935, 60/203, 832/587?
Answer: LCM of Numerators as per given numbers 95/935, 60/203, 832/587 is
LCM of Numerators i.e. for 95,60,832 is 237120
GCF of denominators i.e. for 935,203,587 is 1.
Thus, LCM of Fractions is 237120.Finally, LCM of Fractions for 95/935, 60/203, 832/587 is 237120.