Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/651, 77/792, 523/778 quickly i.e. 1208130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/651, 77/792, 523/778 is 1208130.
LCM(30/651, 77/792, 523/778) = 1208130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/651,77/792,523/778
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 30,77,523
Least Common Multiple of Numerators i.e. LCM of 30,77,523 is 1208130.
GCF of Denominators means GCF of 651,792,778 as per the given fractions.
GCF of 651,792,778 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,77,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 1208130
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 30,77,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,77,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,77,523) x common factors =1 x 1 = 1
LCM(30,77,523) = ( 30 × 77 × 523 ) / 1
LCM(30,77,523) = 1208130 / 1
LCM(30,77,523) = 1208130
Lets's calculate GCF of 651,792,778
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1208130/1
Therefore the LCM of Fractions 30/651,77/792,523/778 is 1208130
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Greatest Common Factor
We found the factors 651,792,778 . The biggest common factor number is the GCF number.
So the greatest common factor 651,792,778 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 30/651, 77/792, 523/778?
Answer: LCM of Numerators as per given numbers 30/651, 77/792, 523/778 is
LCM of Numerators i.e. for 30,77,523 is 1208130
GCF of denominators i.e. for 651,792,778 is 1.
Thus, LCM of Fractions is 1208130.Finally, LCM of Fractions for 30/651, 77/792, 523/778 is 1208130.