Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 777/323, 893/180, 794/614 quickly i.e. 550925634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 777/323, 893/180, 794/614 is 550925634.
LCM(777/323, 893/180, 794/614) = 550925634
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 777/323,893/180,794/614
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 777,893,794
Least Common Multiple of Numerators i.e. LCM of 777,893,794 is 550925634.
GCF of Denominators means GCF of 323,180,614 as per the given fractions.
GCF of 323,180,614 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 777,893,794
Given numbers has no common factors except 1. So, there LCM is their product i.e 550925634
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 777,893,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,893,794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,893,794) x common factors =1 x 1 = 1
LCM(777,893,794) = ( 777 × 893 × 794 ) / 1
LCM(777,893,794) = 550925634 / 1
LCM(777,893,794) = 550925634
Lets's calculate GCF of 323,180,614
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550925634/1
Therefore the LCM of Fractions 777/323,893/180,794/614 is 550925634
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Greatest Common Factor
We found the factors 323,180,614 . The biggest common factor number is the GCF number.
So the greatest common factor 323,180,614 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 777/323, 893/180, 794/614?
Answer: LCM of Numerators as per given numbers 777/323, 893/180, 794/614 is
LCM of Numerators i.e. for 777,893,794 is 550925634
GCF of denominators i.e. for 323,180,614 is 1.
Thus, LCM of Fractions is 550925634.Finally, LCM of Fractions for 777/323, 893/180, 794/614 is 550925634.