Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/663, 887/711, 157/879 quickly i.e. 4038511/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/663, 887/711, 157/879 is 4038511/3.
LCM(29/663, 887/711, 157/879) = 4038511/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/663,887/711,157/879
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 29,887,157
Least Common Multiple of Numerators i.e. LCM of 29,887,157 is 4038511.
GCF of Denominators means GCF of 663,711,879 as per the given fractions.
GCF of 663,711,879 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,887,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 4038511
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 29,887,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,887,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,887,157) x common factors =1 x 1 = 1
LCM(29,887,157) = ( 29 × 887 × 157 ) / 1
LCM(29,887,157) = 4038511 / 1
LCM(29,887,157) = 4038511
Lets's calculate GCF of 663,711,879
3 | 663, 711, 879 |
221, 237, 293 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4038511/3
Therefore the LCM of Fractions 29/663,887/711,157/879 is 4038511/3
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Greatest Common Factor
We found the factors 663,711,879 . The biggest common factor number is the GCF number.
So the greatest common factor 663,711,879 is 3.
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 29/663, 887/711, 157/879?
Answer: LCM of Numerators as per given numbers 29/663, 887/711, 157/879 is
LCM of Numerators i.e. for 29,887,157 is 4038511
GCF of denominators i.e. for 663,711,879 is 3.
Thus, LCM of Fractions is 4038511/3.Finally, LCM of Fractions for 29/663, 887/711, 157/879 is 4038511/3.