Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 786/459, 472/705 quickly i.e. 61832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 786/459, 472/705 is 61832.
LCM(786/459, 472/705) = 61832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 786/459,472/705
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 786,472
Least Common Multiple of Numerators i.e. LCM of 786,472 is 185496.
GCF of Denominators means GCF of 459,705 as per the given fractions.
GCF of 459,705 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 786,472
2 | 786, 472 |
393, 236 |
∴ So the LCM of the given numbers is 2 x 393 x 236 = 185496
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 786,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,472) x common factors =2 x 1 = 2
LCM(786,472) = ( 786 × 472 ) / 2
LCM(786,472) = 370992 / 2
LCM(786,472) = 185496
Lets's calculate GCF of 459,705
3 | 459, 705 |
153, 235 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185496/3
Therefore the LCM of Fractions 786/459,472/705 is 61832
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 459,705 . The biggest common factor number is the GCF number.
So the greatest common factor 459,705 is 3.
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 786/459, 472/705?
Answer: LCM of Numerators as per given numbers 786/459, 472/705 is
LCM of Numerators i.e. for 786,472 is 185496
GCF of denominators i.e. for 459,705 is 3.
Thus, LCM of Fractions is 61832.Finally, LCM of Fractions for 786/459, 472/705 is 61832.