Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/69, 76/487, 410/698 quickly i.e. 732260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/69, 76/487, 410/698 is 732260.
LCM(47/69, 76/487, 410/698) = 732260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/69,76/487,410/698
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 47,76,410
Least Common Multiple of Numerators i.e. LCM of 47,76,410 is 732260.
GCF of Denominators means GCF of 69,487,698 as per the given fractions.
GCF of 69,487,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,76,410
2 | 47, 76, 410 |
47, 38, 205 |
∴ So the LCM of the given numbers is 2 x 47 x 38 x 205 = 732260
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 47,76,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,76,410) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,76,410) x common factors =1 x 2 = 2
LCM(47,76,410) = ( 47 × 76 × 410 ) / 2
LCM(47,76,410) = 1464520 / 2
LCM(47,76,410) = 732260
Lets's calculate GCF of 69,487,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 732260/1
Therefore the LCM of Fractions 47/69,76/487,410/698 is 732260
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 69,487,698 . The biggest common factor number is the GCF number.
So the greatest common factor 69,487,698 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 47/69, 76/487, 410/698?
Answer: LCM of Numerators as per given numbers 47/69, 76/487, 410/698 is
LCM of Numerators i.e. for 47,76,410 is 732260
GCF of denominators i.e. for 69,487,698 is 1.
Thus, LCM of Fractions is 732260.Finally, LCM of Fractions for 47/69, 76/487, 410/698 is 732260.