Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/487, 27/461, 384/402 quickly i.e. 120960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/487, 27/461, 384/402 is 120960.
LCM(70/487, 27/461, 384/402) = 120960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/487,27/461,384/402
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 70,27,384
Least Common Multiple of Numerators i.e. LCM of 70,27,384 is 120960.
GCF of Denominators means GCF of 487,461,402 as per the given fractions.
GCF of 487,461,402 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,27,384
2 | 70, 27, 384 |
3 | 35, 27, 192 |
35, 9, 64 |
∴ So the LCM of the given numbers is 2 x 3 x 35 x 9 x 64 = 120960
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 70,27,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,27,384) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(70,27,384) x common factors =1 x 6 = 6
LCM(70,27,384) = ( 70 × 27 × 384 ) / 6
LCM(70,27,384) = 725760 / 6
LCM(70,27,384) = 120960
Lets's calculate GCF of 487,461,402
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120960/1
Therefore the LCM of Fractions 70/487,27/461,384/402 is 120960
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 487,461,402 . The biggest common factor number is the GCF number.
So the greatest common factor 487,461,402 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 70/487, 27/461, 384/402?
Answer: LCM of Numerators as per given numbers 70/487, 27/461, 384/402 is
LCM of Numerators i.e. for 70,27,384 is 120960
GCF of denominators i.e. for 487,461,402 is 1.
Thus, LCM of Fractions is 120960.Finally, LCM of Fractions for 70/487, 27/461, 384/402 is 120960.