Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/522, 72/752, 851/889 quickly i.e. 796536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/522, 72/752, 851/889 is 796536.
LCM(78/522, 72/752, 851/889) = 796536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/522,72/752,851/889
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 78,72,851
Least Common Multiple of Numerators i.e. LCM of 78,72,851 is 796536.
GCF of Denominators means GCF of 522,752,889 as per the given fractions.
GCF of 522,752,889 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,72,851
2 | 78, 72, 851 |
3 | 39, 36, 851 |
13, 12, 851 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 12 x 851 = 796536
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 78,72,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,72,851) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,72,851) x common factors =1 x 6 = 6
LCM(78,72,851) = ( 78 × 72 × 851 ) / 6
LCM(78,72,851) = 4779216 / 6
LCM(78,72,851) = 796536
Lets's calculate GCF of 522,752,889
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 796536/1
Therefore the LCM of Fractions 78/522,72/752,851/889 is 796536
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Greatest Common Factor
We found the factors 522,752,889 . The biggest common factor number is the GCF number.
So the greatest common factor 522,752,889 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 78/522, 72/752, 851/889?
Answer: LCM of Numerators as per given numbers 78/522, 72/752, 851/889 is
LCM of Numerators i.e. for 78,72,851 is 796536
GCF of denominators i.e. for 522,752,889 is 1.
Thus, LCM of Fractions is 796536.Finally, LCM of Fractions for 78/522, 72/752, 851/889 is 796536.