Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 786/29, 414/5664 quickly i.e. 54234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 786/29, 414/5664 is 54234.
LCM(786/29, 414/5664) = 54234
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 786/29,414/5664
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 786,414
Least Common Multiple of Numerators i.e. LCM of 786,414 is 54234.
GCF of Denominators means GCF of 29,5664 as per the given fractions.
GCF of 29,5664 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 786,414
2 | 786, 414 |
3 | 393, 207 |
131, 69 |
∴ So the LCM of the given numbers is 2 x 3 x 131 x 69 = 54234
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 786,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,414) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(786,414) x common factors =6 x 1 = 6
LCM(786,414) = ( 786 × 414 ) / 6
LCM(786,414) = 325404 / 6
LCM(786,414) = 54234
Lets's calculate GCF of 29,5664
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54234/1
Therefore the LCM of Fractions 786/29,414/5664 is 54234
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 5664
List of positive integer factors of 5664 that divides 5664 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Greatest Common Factor
We found the factors 29,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 29,5664 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 786/29, 414/5664?
Answer: LCM of Numerators as per given numbers 786/29, 414/5664 is
LCM of Numerators i.e. for 786,414 is 54234
GCF of denominators i.e. for 29,5664 is 1.
Thus, LCM of Fractions is 54234.Finally, LCM of Fractions for 786/29, 414/5664 is 54234.