Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 249/69, 806/32, 815/381 quickly i.e. 163565610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 249/69, 806/32, 815/381 is 163565610.
LCM(249/69, 806/32, 815/381) = 163565610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 249/69,806/32,815/381
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 249,806,815
Least Common Multiple of Numerators i.e. LCM of 249,806,815 is 163565610.
GCF of Denominators means GCF of 69,32,381 as per the given fractions.
GCF of 69,32,381 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 249,806,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 163565610
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 249,806,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,806,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,806,815) x common factors =1 x 1 = 1
LCM(249,806,815) = ( 249 × 806 × 815 ) / 1
LCM(249,806,815) = 163565610 / 1
LCM(249,806,815) = 163565610
Lets's calculate GCF of 69,32,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163565610/1
Therefore the LCM of Fractions 249/69,806/32,815/381 is 163565610
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 69,32,381 . The biggest common factor number is the GCF number.
So the greatest common factor 69,32,381 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 249/69, 806/32, 815/381?
Answer: LCM of Numerators as per given numbers 249/69, 806/32, 815/381 is
LCM of Numerators i.e. for 249,806,815 is 163565610
GCF of denominators i.e. for 69,32,381 is 1.
Thus, LCM of Fractions is 163565610.Finally, LCM of Fractions for 249/69, 806/32, 815/381 is 163565610.