Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 150/520, 649/367, 922/729 quickly i.e. 44878350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 150/520, 649/367, 922/729 is 44878350.
LCM(150/520, 649/367, 922/729) = 44878350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 150/520,649/367,922/729
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 150,649,922
Least Common Multiple of Numerators i.e. LCM of 150,649,922 is 44878350.
GCF of Denominators means GCF of 520,367,729 as per the given fractions.
GCF of 520,367,729 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 150,649,922
2 | 150, 649, 922 |
75, 649, 461 |
∴ So the LCM of the given numbers is 2 x 75 x 649 x 461 = 44878350
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 150,649,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,649,922) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(150,649,922) x common factors =1 x 2 = 2
LCM(150,649,922) = ( 150 × 649 × 922 ) / 2
LCM(150,649,922) = 89756700 / 2
LCM(150,649,922) = 44878350
Lets's calculate GCF of 520,367,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44878350/1
Therefore the LCM of Fractions 150/520,649/367,922/729 is 44878350
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 520,367,729 . The biggest common factor number is the GCF number.
So the greatest common factor 520,367,729 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 150/520, 649/367, 922/729?
Answer: LCM of Numerators as per given numbers 150/520, 649/367, 922/729 is
LCM of Numerators i.e. for 150,649,922 is 44878350
GCF of denominators i.e. for 520,367,729 is 1.
Thus, LCM of Fractions is 44878350.Finally, LCM of Fractions for 150/520, 649/367, 922/729 is 44878350.