Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 161/436, 954/550 quickly i.e. 76797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 161/436, 954/550 is 76797.
LCM(161/436, 954/550) = 76797
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 161/436,954/550
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 161,954
Least Common Multiple of Numerators i.e. LCM of 161,954 is 153594.
GCF of Denominators means GCF of 436,550 as per the given fractions.
GCF of 436,550 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 161,954
Given numbers has no common factors except 1. So, there LCM is their product i.e 153594
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 161,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,954) x common factors =1 x 1 = 1
LCM(161,954) = ( 161 × 954 ) / 1
LCM(161,954) = 153594 / 1
LCM(161,954) = 153594
Lets's calculate GCF of 436,550
2 | 436, 550 |
218, 275 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153594/2
Therefore the LCM of Fractions 161/436,954/550 is 76797
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 436,550 . The biggest common factor number is the GCF number.
So the greatest common factor 436,550 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 161/436, 954/550?
Answer: LCM of Numerators as per given numbers 161/436, 954/550 is
LCM of Numerators i.e. for 161,954 is 153594
GCF of denominators i.e. for 436,550 is 2.
Thus, LCM of Fractions is 76797.Finally, LCM of Fractions for 161/436, 954/550 is 76797.