Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/819, 70/999, 397/862 quickly i.e. 1917510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/819, 70/999, 397/862 is 1917510.
LCM(69/819, 70/999, 397/862) = 1917510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/819,70/999,397/862
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 69,70,397
Least Common Multiple of Numerators i.e. LCM of 69,70,397 is 1917510.
GCF of Denominators means GCF of 819,999,862 as per the given fractions.
GCF of 819,999,862 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,70,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 1917510
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 69,70,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,70,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,70,397) x common factors =1 x 1 = 1
LCM(69,70,397) = ( 69 × 70 × 397 ) / 1
LCM(69,70,397) = 1917510 / 1
LCM(69,70,397) = 1917510
Lets's calculate GCF of 819,999,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1917510/1
Therefore the LCM of Fractions 69/819,70/999,397/862 is 1917510
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
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 819,999,862 . The biggest common factor number is the GCF number.
So the greatest common factor 819,999,862 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 69/819, 70/999, 397/862?
Answer: LCM of Numerators as per given numbers 69/819, 70/999, 397/862 is
LCM of Numerators i.e. for 69,70,397 is 1917510
GCF of denominators i.e. for 819,999,862 is 1.
Thus, LCM of Fractions is 1917510.Finally, LCM of Fractions for 69/819, 70/999, 397/862 is 1917510.