Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/851, 563/418, 357/996 quickly i.e. 8039640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/851, 563/418, 357/996 is 8039640.
LCM(40/851, 563/418, 357/996) = 8039640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/851,563/418,357/996
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 40,563,357
Least Common Multiple of Numerators i.e. LCM of 40,563,357 is 8039640.
GCF of Denominators means GCF of 851,418,996 as per the given fractions.
GCF of 851,418,996 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,563,357
Given numbers has no common factors except 1. So, there LCM is their product i.e 8039640
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 40,563,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,563,357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,563,357) x common factors =1 x 1 = 1
LCM(40,563,357) = ( 40 × 563 × 357 ) / 1
LCM(40,563,357) = 8039640 / 1
LCM(40,563,357) = 8039640
Lets's calculate GCF of 851,418,996
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8039640/1
Therefore the LCM of Fractions 40/851,563/418,357/996 is 8039640
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 851,418,996 . The biggest common factor number is the GCF number.
So the greatest common factor 851,418,996 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 40/851, 563/418, 357/996?
Answer: LCM of Numerators as per given numbers 40/851, 563/418, 357/996 is
LCM of Numerators i.e. for 40,563,357 is 8039640
GCF of denominators i.e. for 851,418,996 is 1.
Thus, LCM of Fractions is 8039640.Finally, LCM of Fractions for 40/851, 563/418, 357/996 is 8039640.