Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 783/44, 414/62, 243/292 quickly i.e. 162081 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 783/44, 414/62, 243/292 is 162081.
LCM(783/44, 414/62, 243/292) = 162081
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 783/44,414/62,243/292
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 783,414,243
Least Common Multiple of Numerators i.e. LCM of 783,414,243 is 324162.
GCF of Denominators means GCF of 44,62,292 as per the given fractions.
GCF of 44,62,292 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 783,414,243
3 | 783, 414, 243 |
3 | 261, 138, 81 |
3 | 87, 46, 27 |
29, 46, 9 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 29 x 46 x 9 = 324162
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 783,414,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,414,243) = 9
common factors(in case of two or more numbers have common factors) = 27
GCF(783,414,243) x common factors =9 x 27 = 243
LCM(783,414,243) = ( 783 × 414 × 243 ) / 243
LCM(783,414,243) = 78771366 / 243
LCM(783,414,243) = 324162
Lets's calculate GCF of 44,62,292
2 | 44, 62, 292 |
22, 31, 146 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324162/2
Therefore the LCM of Fractions 783/44,414/62,243/292 is 162081
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 44,62,292 . The biggest common factor number is the GCF number.
So the greatest common factor 44,62,292 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 783/44, 414/62, 243/292?
Answer: LCM of Numerators as per given numbers 783/44, 414/62, 243/292 is
LCM of Numerators i.e. for 783,414,243 is 324162
GCF of denominators i.e. for 44,62,292 is 2.
Thus, LCM of Fractions is 162081.Finally, LCM of Fractions for 783/44, 414/62, 243/292 is 162081.