Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 271/876, 2930/810 quickly i.e. 794030/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 271/876, 2930/810 is 794030/6.
LCM(271/876, 2930/810) = 794030/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 271/876,2930/810
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 271,2930
Least Common Multiple of Numerators i.e. LCM of 271,2930 is 794030.
GCF of Denominators means GCF of 876,810 as per the given fractions.
GCF of 876,810 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 271,2930
Given numbers has no common factors except 1. So, there LCM is their product i.e 794030
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 271,2930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,2930) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,2930) x common factors =1 x 1 = 1
LCM(271,2930) = ( 271 × 2930 ) / 1
LCM(271,2930) = 794030 / 1
LCM(271,2930) = 794030
Lets's calculate GCF of 876,810
2 | 876, 810 |
3 | 438, 405 |
146, 135 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 794030/6
Therefore the LCM of Fractions 271/876,2930/810 is 794030/6
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 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 876,810 . The biggest common factor number is the GCF number.
So the greatest common factor 876,810 is 6.
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 271/876, 2930/810?
Answer: LCM of Numerators as per given numbers 271/876, 2930/810 is
LCM of Numerators i.e. for 271,2930 is 794030
GCF of denominators i.e. for 876,810 is 6.
Thus, LCM of Fractions is 794030/6.Finally, LCM of Fractions for 271/876, 2930/810 is 794030/6.