Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 784/21, 703/3899 quickly i.e. 78736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 784/21, 703/3899 is 78736.
LCM(784/21, 703/3899) = 78736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 784/21,703/3899
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 784,703
Least Common Multiple of Numerators i.e. LCM of 784,703 is 551152.
GCF of Denominators means GCF of 21,3899 as per the given fractions.
GCF of 21,3899 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 784,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 551152
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 784,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,703) x common factors =1 x 1 = 1
LCM(784,703) = ( 784 × 703 ) / 1
LCM(784,703) = 551152 / 1
LCM(784,703) = 551152
Lets's calculate GCF of 21,3899
7 | 21, 3899 |
3, 557 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 551152/7
Therefore the LCM of Fractions 784/21,703/3899 is 78736
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 3899
List of positive integer factors of 3899 that divides 3899 without a remainder.
1,7,557,3899
Greatest Common Factor
We found the factors 21,3899 . The biggest common factor number is the GCF number.
So the greatest common factor 21,3899 is 7.
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 784/21, 703/3899?
Answer: LCM of Numerators as per given numbers 784/21, 703/3899 is
LCM of Numerators i.e. for 784,703 is 551152
GCF of denominators i.e. for 21,3899 is 7.
Thus, LCM of Fractions is 78736.Finally, LCM of Fractions for 784/21, 703/3899 is 78736.