Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/497, 47/386, 418/412 quickly i.e. 1905662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/497, 47/386, 418/412 is 1905662.
LCM(97/497, 47/386, 418/412) = 1905662
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/497,47/386,418/412
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 97,47,418
Least Common Multiple of Numerators i.e. LCM of 97,47,418 is 1905662.
GCF of Denominators means GCF of 497,386,412 as per the given fractions.
GCF of 497,386,412 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,47,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 1905662
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 97,47,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,47,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,47,418) x common factors =1 x 1 = 1
LCM(97,47,418) = ( 97 × 47 × 418 ) / 1
LCM(97,47,418) = 1905662 / 1
LCM(97,47,418) = 1905662
Lets's calculate GCF of 497,386,412
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1905662/1
Therefore the LCM of Fractions 97/497,47/386,418/412 is 1905662
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 497,386,412 . The biggest common factor number is the GCF number.
So the greatest common factor 497,386,412 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 97/497, 47/386, 418/412?
Answer: LCM of Numerators as per given numbers 97/497, 47/386, 418/412 is
LCM of Numerators i.e. for 97,47,418 is 1905662
GCF of denominators i.e. for 497,386,412 is 1.
Thus, LCM of Fractions is 1905662.Finally, LCM of Fractions for 97/497, 47/386, 418/412 is 1905662.