Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/876, 196/679, 801/371 quickly i.e. 2668932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/876, 196/679, 801/371 is 2668932.
LCM(17/876, 196/679, 801/371) = 2668932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/876,196/679,801/371
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 17,196,801
Least Common Multiple of Numerators i.e. LCM of 17,196,801 is 2668932.
GCF of Denominators means GCF of 876,679,371 as per the given fractions.
GCF of 876,679,371 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,196,801
Given numbers has no common factors except 1. So, there LCM is their product i.e 2668932
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 17,196,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,196,801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,196,801) x common factors =1 x 1 = 1
LCM(17,196,801) = ( 17 × 196 × 801 ) / 1
LCM(17,196,801) = 2668932 / 1
LCM(17,196,801) = 2668932
Lets's calculate GCF of 876,679,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2668932/1
Therefore the LCM of Fractions 17/876,196/679,801/371 is 2668932
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 876,679,371 . The biggest common factor number is the GCF number.
So the greatest common factor 876,679,371 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 17/876, 196/679, 801/371?
Answer: LCM of Numerators as per given numbers 17/876, 196/679, 801/371 is
LCM of Numerators i.e. for 17,196,801 is 2668932
GCF of denominators i.e. for 876,679,371 is 1.
Thus, LCM of Fractions is 2668932.Finally, LCM of Fractions for 17/876, 196/679, 801/371 is 2668932.