Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/467, 10/487, 397/552 quickly i.e. 186590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/467, 10/487, 397/552 is 186590.
LCM(94/467, 10/487, 397/552) = 186590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/467,10/487,397/552
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 94,10,397
Least Common Multiple of Numerators i.e. LCM of 94,10,397 is 186590.
GCF of Denominators means GCF of 467,487,552 as per the given fractions.
GCF of 467,487,552 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,10,397
2 | 94, 10, 397 |
47, 5, 397 |
∴ So the LCM of the given numbers is 2 x 47 x 5 x 397 = 186590
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 94,10,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,10,397) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,10,397) x common factors =1 x 2 = 2
LCM(94,10,397) = ( 94 × 10 × 397 ) / 2
LCM(94,10,397) = 373180 / 2
LCM(94,10,397) = 186590
Lets's calculate GCF of 467,487,552
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186590/1
Therefore the LCM of Fractions 94/467,10/487,397/552 is 186590
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 467,487,552 . The biggest common factor number is the GCF number.
So the greatest common factor 467,487,552 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 94/467, 10/487, 397/552?
Answer: LCM of Numerators as per given numbers 94/467, 10/487, 397/552 is
LCM of Numerators i.e. for 94,10,397 is 186590
GCF of denominators i.e. for 467,487,552 is 1.
Thus, LCM of Fractions is 186590.Finally, LCM of Fractions for 94/467, 10/487, 397/552 is 186590.