Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 873/677, 4422/691 quickly i.e. 1286802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 873/677, 4422/691 is 1286802.
LCM(873/677, 4422/691) = 1286802
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 873/677,4422/691
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 873,4422
Least Common Multiple of Numerators i.e. LCM of 873,4422 is 1286802.
GCF of Denominators means GCF of 677,691 as per the given fractions.
GCF of 677,691 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 873,4422
3 | 873, 4422 |
291, 1474 |
∴ So the LCM of the given numbers is 3 x 291 x 1474 = 1286802
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 873,4422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,4422) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(873,4422) x common factors =3 x 1 = 3
LCM(873,4422) = ( 873 × 4422 ) / 3
LCM(873,4422) = 3860406 / 3
LCM(873,4422) = 1286802
Lets's calculate GCF of 677,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1286802/1
Therefore the LCM of Fractions 873/677,4422/691 is 1286802
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Greatest Common Factor
We found the factors 677,691 . The biggest common factor number is the GCF number.
So the greatest common factor 677,691 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 873/677, 4422/691?
Answer: LCM of Numerators as per given numbers 873/677, 4422/691 is
LCM of Numerators i.e. for 873,4422 is 1286802
GCF of denominators i.e. for 677,691 is 1.
Thus, LCM of Fractions is 1286802.Finally, LCM of Fractions for 873/677, 4422/691 is 1286802.