Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/478, 47/533, 298/136 quickly i.e. 1218522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/478, 47/533, 298/136 is 1218522.
LCM(87/478, 47/533, 298/136) = 1218522
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/478,47/533,298/136
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 87,47,298
Least Common Multiple of Numerators i.e. LCM of 87,47,298 is 1218522.
GCF of Denominators means GCF of 478,533,136 as per the given fractions.
GCF of 478,533,136 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,47,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 1218522
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 87,47,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,47,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,47,298) x common factors =1 x 1 = 1
LCM(87,47,298) = ( 87 × 47 × 298 ) / 1
LCM(87,47,298) = 1218522 / 1
LCM(87,47,298) = 1218522
Lets's calculate GCF of 478,533,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1218522/1
Therefore the LCM of Fractions 87/478,47/533,298/136 is 1218522
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 478,533,136 . The biggest common factor number is the GCF number.
So the greatest common factor 478,533,136 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 87/478, 47/533, 298/136?
Answer: LCM of Numerators as per given numbers 87/478, 47/533, 298/136 is
LCM of Numerators i.e. for 87,47,298 is 1218522
GCF of denominators i.e. for 478,533,136 is 1.
Thus, LCM of Fractions is 1218522.Finally, LCM of Fractions for 87/478, 47/533, 298/136 is 1218522.