Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 839/90, 208/52, 703/854 quickly i.e. 61340968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 839/90, 208/52, 703/854 is 61340968.
LCM(839/90, 208/52, 703/854) = 61340968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 839/90,208/52,703/854
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 839,208,703
Least Common Multiple of Numerators i.e. LCM of 839,208,703 is 122681936.
GCF of Denominators means GCF of 90,52,854 as per the given fractions.
GCF of 90,52,854 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 839,208,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 122681936
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 839,208,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,208,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,208,703) x common factors =1 x 1 = 1
LCM(839,208,703) = ( 839 × 208 × 703 ) / 1
LCM(839,208,703) = 122681936 / 1
LCM(839,208,703) = 122681936
Lets's calculate GCF of 90,52,854
2 | 90, 52, 854 |
45, 26, 427 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122681936/2
Therefore the LCM of Fractions 839/90,208/52,703/854 is 61340968
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 90,52,854 . The biggest common factor number is the GCF number.
So the greatest common factor 90,52,854 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 839/90, 208/52, 703/854?
Answer: LCM of Numerators as per given numbers 839/90, 208/52, 703/854 is
LCM of Numerators i.e. for 839,208,703 is 122681936
GCF of denominators i.e. for 90,52,854 is 2.
Thus, LCM of Fractions is 61340968.Finally, LCM of Fractions for 839/90, 208/52, 703/854 is 61340968.