Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 131/30, 599/62, 678/284 quickly i.e. 26600991 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 131/30, 599/62, 678/284 is 26600991.
LCM(131/30, 599/62, 678/284) = 26600991
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 131/30,599/62,678/284
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 131,599,678
Least Common Multiple of Numerators i.e. LCM of 131,599,678 is 53201982.
GCF of Denominators means GCF of 30,62,284 as per the given fractions.
GCF of 30,62,284 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 131,599,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 53201982
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 131,599,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,599,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,599,678) x common factors =1 x 1 = 1
LCM(131,599,678) = ( 131 × 599 × 678 ) / 1
LCM(131,599,678) = 53201982 / 1
LCM(131,599,678) = 53201982
Lets's calculate GCF of 30,62,284
2 | 30, 62, 284 |
15, 31, 142 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53201982/2
Therefore the LCM of Fractions 131/30,599/62,678/284 is 26600991
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 30,62,284 . The biggest common factor number is the GCF number.
So the greatest common factor 30,62,284 is 2.
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 131/30, 599/62, 678/284?
Answer: LCM of Numerators as per given numbers 131/30, 599/62, 678/284 is
LCM of Numerators i.e. for 131,599,678 is 53201982
GCF of denominators i.e. for 30,62,284 is 2.
Thus, LCM of Fractions is 26600991.Finally, LCM of Fractions for 131/30, 599/62, 678/284 is 26600991.