Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 517/872, 654/407 quickly i.e. 338118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 517/872, 654/407 is 338118.
LCM(517/872, 654/407) = 338118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 517/872,654/407
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 517,654
Least Common Multiple of Numerators i.e. LCM of 517,654 is 338118.
GCF of Denominators means GCF of 872,407 as per the given fractions.
GCF of 872,407 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 517,654
Given numbers has no common factors except 1. So, there LCM is their product i.e 338118
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 517,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,654) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,654) x common factors =1 x 1 = 1
LCM(517,654) = ( 517 × 654 ) / 1
LCM(517,654) = 338118 / 1
LCM(517,654) = 338118
Lets's calculate GCF of 872,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338118/1
Therefore the LCM of Fractions 517/872,654/407 is 338118
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Greatest Common Factor
We found the factors 872,407 . The biggest common factor number is the GCF number.
So the greatest common factor 872,407 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 517/872, 654/407?
Answer: LCM of Numerators as per given numbers 517/872, 654/407 is
LCM of Numerators i.e. for 517,654 is 338118
GCF of denominators i.e. for 872,407 is 1.
Thus, LCM of Fractions is 338118.Finally, LCM of Fractions for 517/872, 654/407 is 338118.