Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/701, 12/783, 832/381 quickly i.e. 82368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/701, 12/783, 832/381 is 82368.
LCM(99/701, 12/783, 832/381) = 82368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/701,12/783,832/381
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 99,12,832
Least Common Multiple of Numerators i.e. LCM of 99,12,832 is 82368.
GCF of Denominators means GCF of 701,783,381 as per the given fractions.
GCF of 701,783,381 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,12,832
2 | 99, 12, 832 |
2 | 99, 6, 416 |
3 | 99, 3, 208 |
33, 1, 208 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 33 x 1 x 208 = 82368
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 99,12,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,12,832) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(99,12,832) x common factors =1 x 12 = 12
LCM(99,12,832) = ( 99 × 12 × 832 ) / 12
LCM(99,12,832) = 988416 / 12
LCM(99,12,832) = 82368
Lets's calculate GCF of 701,783,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82368/1
Therefore the LCM of Fractions 99/701,12/783,832/381 is 82368
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 701,783,381 . The biggest common factor number is the GCF number.
So the greatest common factor 701,783,381 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 99/701, 12/783, 832/381?
Answer: LCM of Numerators as per given numbers 99/701, 12/783, 832/381 is
LCM of Numerators i.e. for 99,12,832 is 82368
GCF of denominators i.e. for 701,783,381 is 1.
Thus, LCM of Fractions is 82368.Finally, LCM of Fractions for 99/701, 12/783, 832/381 is 82368.