Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 150/58, 158/11, 600/541 quickly i.e. 47400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 150/58, 158/11, 600/541 is 47400.
LCM(150/58, 158/11, 600/541) = 47400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 150/58,158/11,600/541
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 150,158,600
Least Common Multiple of Numerators i.e. LCM of 150,158,600 is 47400.
GCF of Denominators means GCF of 58,11,541 as per the given fractions.
GCF of 58,11,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 150,158,600
2 | 150, 158, 600 |
3 | 75, 79, 300 |
5 | 25, 79, 100 |
5 | 5, 79, 20 |
1, 79, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 79 x 4 = 47400
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 150,158,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,158,600) = 2
common factors(in case of two or more numbers have common factors) = 150
GCF(150,158,600) x common factors =2 x 150 = 300
LCM(150,158,600) = ( 150 × 158 × 600 ) / 300
LCM(150,158,600) = 14220000 / 300
LCM(150,158,600) = 47400
Lets's calculate GCF of 58,11,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47400/1
Therefore the LCM of Fractions 150/58,158/11,600/541 is 47400
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 58,11,541 . The biggest common factor number is the GCF number.
So the greatest common factor 58,11,541 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 150/58, 158/11, 600/541?
Answer: LCM of Numerators as per given numbers 150/58, 158/11, 600/541 is
LCM of Numerators i.e. for 150,158,600 is 47400
GCF of denominators i.e. for 58,11,541 is 1.
Thus, LCM of Fractions is 47400.Finally, LCM of Fractions for 150/58, 158/11, 600/541 is 47400.