Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/785, 57/350, 285/283 quickly i.e. 6840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/785, 57/350, 285/283 is 6840.
LCM(72/785, 57/350, 285/283) = 6840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/785,57/350,285/283
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 72,57,285
Least Common Multiple of Numerators i.e. LCM of 72,57,285 is 6840.
GCF of Denominators means GCF of 785,350,283 as per the given fractions.
GCF of 785,350,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,57,285
3 | 72, 57, 285 |
19 | 24, 19, 95 |
24, 1, 5 |
∴ So the LCM of the given numbers is 3 x 19 x 24 x 1 x 5 = 6840
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 72,57,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,57,285) = 3
common factors(in case of two or more numbers have common factors) = 57
GCF(72,57,285) x common factors =3 x 57 = 171
LCM(72,57,285) = ( 72 × 57 × 285 ) / 171
LCM(72,57,285) = 1169640 / 171
LCM(72,57,285) = 6840
Lets's calculate GCF of 785,350,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6840/1
Therefore the LCM of Fractions 72/785,57/350,285/283 is 6840
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 785,350,283 . The biggest common factor number is the GCF number.
So the greatest common factor 785,350,283 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 72/785, 57/350, 285/283?
Answer: LCM of Numerators as per given numbers 72/785, 57/350, 285/283 is
LCM of Numerators i.e. for 72,57,285 is 6840
GCF of denominators i.e. for 785,350,283 is 1.
Thus, LCM of Fractions is 6840.Finally, LCM of Fractions for 72/785, 57/350, 285/283 is 6840.