Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/609, 657/704, 390/708 quickly i.e. 4014270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/609, 657/704, 390/708 is 4014270.
LCM(47/609, 657/704, 390/708) = 4014270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/609,657/704,390/708
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 47,657,390
Least Common Multiple of Numerators i.e. LCM of 47,657,390 is 4014270.
GCF of Denominators means GCF of 609,704,708 as per the given fractions.
GCF of 609,704,708 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,657,390
3 | 47, 657, 390 |
47, 219, 130 |
∴ So the LCM of the given numbers is 3 x 47 x 219 x 130 = 4014270
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 47,657,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,657,390) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(47,657,390) x common factors =1 x 3 = 3
LCM(47,657,390) = ( 47 × 657 × 390 ) / 3
LCM(47,657,390) = 12042810 / 3
LCM(47,657,390) = 4014270
Lets's calculate GCF of 609,704,708
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4014270/1
Therefore the LCM of Fractions 47/609,657/704,390/708 is 4014270
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 609,704,708 . The biggest common factor number is the GCF number.
So the greatest common factor 609,704,708 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 47/609, 657/704, 390/708?
Answer: LCM of Numerators as per given numbers 47/609, 657/704, 390/708 is
LCM of Numerators i.e. for 47,657,390 is 4014270
GCF of denominators i.e. for 609,704,708 is 1.
Thus, LCM of Fractions is 4014270.Finally, LCM of Fractions for 47/609, 657/704, 390/708 is 4014270.