Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/150, 7371/3980 quickly i.e. 427518/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/150, 7371/3980 is 427518/10.
LCM(58/150, 7371/3980) = 427518/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/150,7371/3980
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 58,7371
Least Common Multiple of Numerators i.e. LCM of 58,7371 is 427518.
GCF of Denominators means GCF of 150,3980 as per the given fractions.
GCF of 150,3980 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,7371
Given numbers has no common factors except 1. So, there LCM is their product i.e 427518
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 58,7371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,7371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,7371) x common factors =1 x 1 = 1
LCM(58,7371) = ( 58 × 7371 ) / 1
LCM(58,7371) = 427518 / 1
LCM(58,7371) = 427518
Lets's calculate GCF of 150,3980
2 | 150, 3980 |
5 | 75, 1990 |
15, 398 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427518/10
Therefore the LCM of Fractions 58/150,7371/3980 is 427518/10
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 3980
List of positive integer factors of 3980 that divides 3980 without a remainder.
1,2,4,5,10,20,199,398,796,995,1990,3980
Greatest Common Factor
We found the factors 150,3980 . The biggest common factor number is the GCF number.
So the greatest common factor 150,3980 is 10.
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 58/150, 7371/3980?
Answer: LCM of Numerators as per given numbers 58/150, 7371/3980 is
LCM of Numerators i.e. for 58,7371 is 427518
GCF of denominators i.e. for 150,3980 is 10.
Thus, LCM of Fractions is 427518/10.Finally, LCM of Fractions for 58/150, 7371/3980 is 427518/10.