Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 533/150, 290/266, 161/176 quickly i.e. 12442885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 533/150, 290/266, 161/176 is 12442885.
LCM(533/150, 290/266, 161/176) = 12442885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 533/150,290/266,161/176
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 533,290,161
Least Common Multiple of Numerators i.e. LCM of 533,290,161 is 24885770.
GCF of Denominators means GCF of 150,266,176 as per the given fractions.
GCF of 150,266,176 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 533,290,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 24885770
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 533,290,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,290,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,290,161) x common factors =1 x 1 = 1
LCM(533,290,161) = ( 533 × 290 × 161 ) / 1
LCM(533,290,161) = 24885770 / 1
LCM(533,290,161) = 24885770
Lets's calculate GCF of 150,266,176
2 | 150, 266, 176 |
75, 133, 88 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24885770/2
Therefore the LCM of Fractions 533/150,290/266,161/176 is 12442885
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 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 150,266,176 . The biggest common factor number is the GCF number.
So the greatest common factor 150,266,176 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 533/150, 290/266, 161/176?
Answer: LCM of Numerators as per given numbers 533/150, 290/266, 161/176 is
LCM of Numerators i.e. for 533,290,161 is 24885770
GCF of denominators i.e. for 150,266,176 is 2.
Thus, LCM of Fractions is 12442885.Finally, LCM of Fractions for 533/150, 290/266, 161/176 is 12442885.