Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/816, 221/435, 502/254 quickly i.e. 7654998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/816, 221/435, 502/254 is 7654998.
LCM(69/816, 221/435, 502/254) = 7654998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/816,221/435,502/254
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 69,221,502
Least Common Multiple of Numerators i.e. LCM of 69,221,502 is 7654998.
GCF of Denominators means GCF of 816,435,254 as per the given fractions.
GCF of 816,435,254 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,221,502
Given numbers has no common factors except 1. So, there LCM is their product i.e 7654998
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 69,221,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,221,502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,221,502) x common factors =1 x 1 = 1
LCM(69,221,502) = ( 69 × 221 × 502 ) / 1
LCM(69,221,502) = 7654998 / 1
LCM(69,221,502) = 7654998
Lets's calculate GCF of 816,435,254
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7654998/1
Therefore the LCM of Fractions 69/816,221/435,502/254 is 7654998
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 816,435,254 . The biggest common factor number is the GCF number.
So the greatest common factor 816,435,254 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 69/816, 221/435, 502/254?
Answer: LCM of Numerators as per given numbers 69/816, 221/435, 502/254 is
LCM of Numerators i.e. for 69,221,502 is 7654998
GCF of denominators i.e. for 816,435,254 is 1.
Thus, LCM of Fractions is 7654998.Finally, LCM of Fractions for 69/816, 221/435, 502/254 is 7654998.