Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 589/754, 1146/434 quickly i.e. 337497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 589/754, 1146/434 is 337497.
LCM(589/754, 1146/434) = 337497
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 589/754,1146/434
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 589,1146
Least Common Multiple of Numerators i.e. LCM of 589,1146 is 674994.
GCF of Denominators means GCF of 754,434 as per the given fractions.
GCF of 754,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 589,1146
Given numbers has no common factors except 1. So, there LCM is their product i.e 674994
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 589,1146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,1146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,1146) x common factors =1 x 1 = 1
LCM(589,1146) = ( 589 × 1146 ) / 1
LCM(589,1146) = 674994 / 1
LCM(589,1146) = 674994
Lets's calculate GCF of 754,434
2 | 754, 434 |
377, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674994/2
Therefore the LCM of Fractions 589/754,1146/434 is 337497
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 754,434 . The biggest common factor number is the GCF number.
So the greatest common factor 754,434 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 589/754, 1146/434?
Answer: LCM of Numerators as per given numbers 589/754, 1146/434 is
LCM of Numerators i.e. for 589,1146 is 674994
GCF of denominators i.e. for 754,434 is 2.
Thus, LCM of Fractions is 337497.Finally, LCM of Fractions for 589/754, 1146/434 is 337497.