Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/909, 421/779, 904/316 quickly i.e. 19409784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/909, 421/779, 904/316 is 19409784.
LCM(51/909, 421/779, 904/316) = 19409784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/909,421/779,904/316
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 51,421,904
Least Common Multiple of Numerators i.e. LCM of 51,421,904 is 19409784.
GCF of Denominators means GCF of 909,779,316 as per the given fractions.
GCF of 909,779,316 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,421,904
Given numbers has no common factors except 1. So, there LCM is their product i.e 19409784
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 51,421,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,421,904) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,421,904) x common factors =1 x 1 = 1
LCM(51,421,904) = ( 51 × 421 × 904 ) / 1
LCM(51,421,904) = 19409784 / 1
LCM(51,421,904) = 19409784
Lets's calculate GCF of 909,779,316
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19409784/1
Therefore the LCM of Fractions 51/909,421/779,904/316 is 19409784
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Greatest Common Factor
We found the factors 909,779,316 . The biggest common factor number is the GCF number.
So the greatest common factor 909,779,316 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 51/909, 421/779, 904/316?
Answer: LCM of Numerators as per given numbers 51/909, 421/779, 904/316 is
LCM of Numerators i.e. for 51,421,904 is 19409784
GCF of denominators i.e. for 909,779,316 is 1.
Thus, LCM of Fractions is 19409784.Finally, LCM of Fractions for 51/909, 421/779, 904/316 is 19409784.