Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 782/808, 941/939, 869/541 quickly i.e. 639464078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 782/808, 941/939, 869/541 is 639464078.
LCM(782/808, 941/939, 869/541) = 639464078
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 782/808,941/939,869/541
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 782,941,869
Least Common Multiple of Numerators i.e. LCM of 782,941,869 is 639464078.
GCF of Denominators means GCF of 808,939,541 as per the given fractions.
GCF of 808,939,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 782,941,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 639464078
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 782,941,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,941,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,941,869) x common factors =1 x 1 = 1
LCM(782,941,869) = ( 782 × 941 × 869 ) / 1
LCM(782,941,869) = 639464078 / 1
LCM(782,941,869) = 639464078
Lets's calculate GCF of 808,939,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 639464078/1
Therefore the LCM of Fractions 782/808,941/939,869/541 is 639464078
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 808,939,541 . The biggest common factor number is the GCF number.
So the greatest common factor 808,939,541 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 782/808, 941/939, 869/541?
Answer: LCM of Numerators as per given numbers 782/808, 941/939, 869/541 is
LCM of Numerators i.e. for 782,941,869 is 639464078
GCF of denominators i.e. for 808,939,541 is 1.
Thus, LCM of Fractions is 639464078.Finally, LCM of Fractions for 782/808, 941/939, 869/541 is 639464078.