Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 712/50, 323/14, 449/754 quickly i.e. 51629612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 712/50, 323/14, 449/754 is 51629612.
LCM(712/50, 323/14, 449/754) = 51629612
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 712/50,323/14,449/754
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 712,323,449
Least Common Multiple of Numerators i.e. LCM of 712,323,449 is 103259224.
GCF of Denominators means GCF of 50,14,754 as per the given fractions.
GCF of 50,14,754 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 712,323,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 103259224
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 712,323,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,323,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(712,323,449) x common factors =1 x 1 = 1
LCM(712,323,449) = ( 712 × 323 × 449 ) / 1
LCM(712,323,449) = 103259224 / 1
LCM(712,323,449) = 103259224
Lets's calculate GCF of 50,14,754
2 | 50, 14, 754 |
25, 7, 377 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103259224/2
Therefore the LCM of Fractions 712/50,323/14,449/754 is 51629612
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 50,14,754 . The biggest common factor number is the GCF number.
So the greatest common factor 50,14,754 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 712/50, 323/14, 449/754?
Answer: LCM of Numerators as per given numbers 712/50, 323/14, 449/754 is
LCM of Numerators i.e. for 712,323,449 is 103259224
GCF of denominators i.e. for 50,14,754 is 2.
Thus, LCM of Fractions is 51629612.Finally, LCM of Fractions for 712/50, 323/14, 449/754 is 51629612.