Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/251, 53/297, 928/796 quickly i.e. 3393696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/251, 53/297, 928/796 is 3393696.
LCM(69/251, 53/297, 928/796) = 3393696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/251,53/297,928/796
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 69,53,928
Least Common Multiple of Numerators i.e. LCM of 69,53,928 is 3393696.
GCF of Denominators means GCF of 251,297,796 as per the given fractions.
GCF of 251,297,796 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,53,928
Given numbers has no common factors except 1. So, there LCM is their product i.e 3393696
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 69,53,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,53,928) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,53,928) x common factors =1 x 1 = 1
LCM(69,53,928) = ( 69 × 53 × 928 ) / 1
LCM(69,53,928) = 3393696 / 1
LCM(69,53,928) = 3393696
Lets's calculate GCF of 251,297,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3393696/1
Therefore the LCM of Fractions 69/251,53/297,928/796 is 3393696
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 251,297,796 . The biggest common factor number is the GCF number.
So the greatest common factor 251,297,796 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 69/251, 53/297, 928/796?
Answer: LCM of Numerators as per given numbers 69/251, 53/297, 928/796 is
LCM of Numerators i.e. for 69,53,928 is 3393696
GCF of denominators i.e. for 251,297,796 is 1.
Thus, LCM of Fractions is 3393696.Finally, LCM of Fractions for 69/251, 53/297, 928/796 is 3393696.