Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/683, 34/413, 814/740 quickly i.e. 359788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/683, 34/413, 814/740 is 359788.
LCM(52/683, 34/413, 814/740) = 359788
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/683,34/413,814/740
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 52,34,814
Least Common Multiple of Numerators i.e. LCM of 52,34,814 is 359788.
GCF of Denominators means GCF of 683,413,740 as per the given fractions.
GCF of 683,413,740 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,34,814
2 | 52, 34, 814 |
26, 17, 407 |
∴ So the LCM of the given numbers is 2 x 26 x 17 x 407 = 359788
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 52,34,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,34,814) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(52,34,814) x common factors =2 x 2 = 4
LCM(52,34,814) = ( 52 × 34 × 814 ) / 4
LCM(52,34,814) = 1439152 / 4
LCM(52,34,814) = 359788
Lets's calculate GCF of 683,413,740
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359788/1
Therefore the LCM of Fractions 52/683,34/413,814/740 is 359788
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 683,413,740 . The biggest common factor number is the GCF number.
So the greatest common factor 683,413,740 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 52/683, 34/413, 814/740?
Answer: LCM of Numerators as per given numbers 52/683, 34/413, 814/740 is
LCM of Numerators i.e. for 52,34,814 is 359788
GCF of denominators i.e. for 683,413,740 is 1.
Thus, LCM of Fractions is 359788.Finally, LCM of Fractions for 52/683, 34/413, 814/740 is 359788.