Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/345, 718/197, 857/676 quickly i.e. 32612278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/345, 718/197, 857/676 is 32612278.
LCM(53/345, 718/197, 857/676) = 32612278
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/345,718/197,857/676
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 53,718,857
Least Common Multiple of Numerators i.e. LCM of 53,718,857 is 32612278.
GCF of Denominators means GCF of 345,197,676 as per the given fractions.
GCF of 345,197,676 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,718,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 32612278
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 53,718,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,718,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,718,857) x common factors =1 x 1 = 1
LCM(53,718,857) = ( 53 × 718 × 857 ) / 1
LCM(53,718,857) = 32612278 / 1
LCM(53,718,857) = 32612278
Lets's calculate GCF of 345,197,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32612278/1
Therefore the LCM of Fractions 53/345,718/197,857/676 is 32612278
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 345,197,676 . The biggest common factor number is the GCF number.
So the greatest common factor 345,197,676 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 53/345, 718/197, 857/676?
Answer: LCM of Numerators as per given numbers 53/345, 718/197, 857/676 is
LCM of Numerators i.e. for 53,718,857 is 32612278
GCF of denominators i.e. for 345,197,676 is 1.
Thus, LCM of Fractions is 32612278.Finally, LCM of Fractions for 53/345, 718/197, 857/676 is 32612278.