Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/683, 71/881, 62/853 quickly i.e. 17608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/683, 71/881, 62/853 is 17608.
LCM(8/683, 71/881, 62/853) = 17608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/683,71/881,62/853
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 8,71,62
Least Common Multiple of Numerators i.e. LCM of 8,71,62 is 17608.
GCF of Denominators means GCF of 683,881,853 as per the given fractions.
GCF of 683,881,853 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,71,62
2 | 8, 71, 62 |
4, 71, 31 |
∴ So the LCM of the given numbers is 2 x 4 x 71 x 31 = 17608
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 8,71,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,71,62) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(8,71,62) x common factors =1 x 2 = 2
LCM(8,71,62) = ( 8 × 71 × 62 ) / 2
LCM(8,71,62) = 35216 / 2
LCM(8,71,62) = 17608
Lets's calculate GCF of 683,881,853
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17608/1
Therefore the LCM of Fractions 8/683,71/881,62/853 is 17608
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Greatest Common Factor
We found the factors 683,881,853 . The biggest common factor number is the GCF number.
So the greatest common factor 683,881,853 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 8/683, 71/881, 62/853?
Answer: LCM of Numerators as per given numbers 8/683, 71/881, 62/853 is
LCM of Numerators i.e. for 8,71,62 is 17608
GCF of denominators i.e. for 683,881,853 is 1.
Thus, LCM of Fractions is 17608.Finally, LCM of Fractions for 8/683, 71/881, 62/853 is 17608.