Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/97, 240/87, 848/667 quickly i.e. 12720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/97, 240/87, 848/667 is 12720.
LCM(30/97, 240/87, 848/667) = 12720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/97,240/87,848/667
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 30,240,848
Least Common Multiple of Numerators i.e. LCM of 30,240,848 is 12720.
GCF of Denominators means GCF of 97,87,667 as per the given fractions.
GCF of 97,87,667 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,240,848
2 | 30, 240, 848 |
2 | 15, 120, 424 |
2 | 15, 60, 212 |
2 | 15, 30, 106 |
3 | 15, 15, 53 |
5 | 5, 5, 53 |
1, 1, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 1 x 53 = 12720
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 30,240,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,240,848) = 2
common factors(in case of two or more numbers have common factors) = 240
GCF(30,240,848) x common factors =2 x 240 = 480
LCM(30,240,848) = ( 30 × 240 × 848 ) / 480
LCM(30,240,848) = 6105600 / 480
LCM(30,240,848) = 12720
Lets's calculate GCF of 97,87,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12720/1
Therefore the LCM of Fractions 30/97,240/87,848/667 is 12720
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Greatest Common Factor
We found the factors 97,87,667 . The biggest common factor number is the GCF number.
So the greatest common factor 97,87,667 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 30/97, 240/87, 848/667?
Answer: LCM of Numerators as per given numbers 30/97, 240/87, 848/667 is
LCM of Numerators i.e. for 30,240,848 is 12720
GCF of denominators i.e. for 97,87,667 is 1.
Thus, LCM of Fractions is 12720.Finally, LCM of Fractions for 30/97, 240/87, 848/667 is 12720.