Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2065/875, 1100/862 quickly i.e. 454300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2065/875, 1100/862 is 454300.
LCM(2065/875, 1100/862) = 454300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2065/875,1100/862
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 2065,1100
Least Common Multiple of Numerators i.e. LCM of 2065,1100 is 454300.
GCF of Denominators means GCF of 875,862 as per the given fractions.
GCF of 875,862 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2065,1100
5 | 2065, 1100 |
413, 220 |
∴ So the LCM of the given numbers is 5 x 413 x 220 = 454300
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 2065,1100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2065,1100) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(2065,1100) x common factors =5 x 1 = 5
LCM(2065,1100) = ( 2065 × 1100 ) / 5
LCM(2065,1100) = 2271500 / 5
LCM(2065,1100) = 454300
Lets's calculate GCF of 875,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 454300/1
Therefore the LCM of Fractions 2065/875,1100/862 is 454300
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 875,862 . The biggest common factor number is the GCF number.
So the greatest common factor 875,862 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 2065/875, 1100/862?
Answer: LCM of Numerators as per given numbers 2065/875, 1100/862 is
LCM of Numerators i.e. for 2065,1100 is 454300
GCF of denominators i.e. for 875,862 is 1.
Thus, LCM of Fractions is 454300.Finally, LCM of Fractions for 2065/875, 1100/862 is 454300.