Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 749/60, 868/5772 quickly i.e. 92876/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 749/60, 868/5772 is 92876/12.
LCM(749/60, 868/5772) = 92876/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 749/60,868/5772
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 749,868
Least Common Multiple of Numerators i.e. LCM of 749,868 is 92876.
GCF of Denominators means GCF of 60,5772 as per the given fractions.
GCF of 60,5772 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 749,868
7 | 749, 868 |
107, 124 |
∴ So the LCM of the given numbers is 7 x 107 x 124 = 92876
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 749,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,868) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,868) x common factors =7 x 1 = 7
LCM(749,868) = ( 749 × 868 ) / 7
LCM(749,868) = 650132 / 7
LCM(749,868) = 92876
Lets's calculate GCF of 60,5772
2 | 60, 5772 |
2 | 30, 2886 |
3 | 15, 1443 |
5, 481 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92876/12
Therefore the LCM of Fractions 749/60,868/5772 is 92876/12
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 5772
List of positive integer factors of 5772 that divides 5772 without a remainder.
1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772
Greatest Common Factor
We found the factors 60,5772 . The biggest common factor number is the GCF number.
So the greatest common factor 60,5772 is 12.
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 749/60, 868/5772?
Answer: LCM of Numerators as per given numbers 749/60, 868/5772 is
LCM of Numerators i.e. for 749,868 is 92876
GCF of denominators i.e. for 60,5772 is 12.
Thus, LCM of Fractions is 92876/12.Finally, LCM of Fractions for 749/60, 868/5772 is 92876/12.