Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 842/485, 679/399, 184/871 quickly i.e. 52598056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 842/485, 679/399, 184/871 is 52598056.
LCM(842/485, 679/399, 184/871) = 52598056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 842/485,679/399,184/871
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 842,679,184
Least Common Multiple of Numerators i.e. LCM of 842,679,184 is 52598056.
GCF of Denominators means GCF of 485,399,871 as per the given fractions.
GCF of 485,399,871 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 842,679,184
2 | 842, 679, 184 |
421, 679, 92 |
∴ So the LCM of the given numbers is 2 x 421 x 679 x 92 = 52598056
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 842,679,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,679,184) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(842,679,184) x common factors =1 x 2 = 2
LCM(842,679,184) = ( 842 × 679 × 184 ) / 2
LCM(842,679,184) = 105196112 / 2
LCM(842,679,184) = 52598056
Lets's calculate GCF of 485,399,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52598056/1
Therefore the LCM of Fractions 842/485,679/399,184/871 is 52598056
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Greatest Common Factor
We found the factors 485,399,871 . The biggest common factor number is the GCF number.
So the greatest common factor 485,399,871 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 842/485, 679/399, 184/871?
Answer: LCM of Numerators as per given numbers 842/485, 679/399, 184/871 is
LCM of Numerators i.e. for 842,679,184 is 52598056
GCF of denominators i.e. for 485,399,871 is 1.
Thus, LCM of Fractions is 52598056.Finally, LCM of Fractions for 842/485, 679/399, 184/871 is 52598056.