Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/664, 705/155, 582/472 quickly i.e. 683850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/664, 705/155, 582/472 is 683850.
LCM(50/664, 705/155, 582/472) = 683850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/664,705/155,582/472
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 50,705,582
Least Common Multiple of Numerators i.e. LCM of 50,705,582 is 683850.
GCF of Denominators means GCF of 664,155,472 as per the given fractions.
GCF of 664,155,472 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,705,582
2 | 50, 705, 582 |
3 | 25, 705, 291 |
5 | 25, 235, 97 |
5, 47, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 47 x 97 = 683850
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 50,705,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,705,582) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(50,705,582) x common factors =1 x 30 = 30
LCM(50,705,582) = ( 50 × 705 × 582 ) / 30
LCM(50,705,582) = 20515500 / 30
LCM(50,705,582) = 683850
Lets's calculate GCF of 664,155,472
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683850/1
Therefore the LCM of Fractions 50/664,705/155,582/472 is 683850
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 664,155,472 . The biggest common factor number is the GCF number.
So the greatest common factor 664,155,472 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 50/664, 705/155, 582/472?
Answer: LCM of Numerators as per given numbers 50/664, 705/155, 582/472 is
LCM of Numerators i.e. for 50,705,582 is 683850
GCF of denominators i.e. for 664,155,472 is 1.
Thus, LCM of Fractions is 683850.Finally, LCM of Fractions for 50/664, 705/155, 582/472 is 683850.