Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 595/764, 6824/796 quickly i.e. 1015070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 595/764, 6824/796 is 1015070.
LCM(595/764, 6824/796) = 1015070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 595/764,6824/796
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 595,6824
Least Common Multiple of Numerators i.e. LCM of 595,6824 is 4060280.
GCF of Denominators means GCF of 764,796 as per the given fractions.
GCF of 764,796 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 595,6824
Given numbers has no common factors except 1. So, there LCM is their product i.e 4060280
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 595,6824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,6824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,6824) x common factors =1 x 1 = 1
LCM(595,6824) = ( 595 × 6824 ) / 1
LCM(595,6824) = 4060280 / 1
LCM(595,6824) = 4060280
Lets's calculate GCF of 764,796
2 | 764, 796 |
2 | 382, 398 |
191, 199 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4060280/4
Therefore the LCM of Fractions 595/764,6824/796 is 1015070
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 764,796 . The biggest common factor number is the GCF number.
So the greatest common factor 764,796 is 4.
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 595/764, 6824/796?
Answer: LCM of Numerators as per given numbers 595/764, 6824/796 is
LCM of Numerators i.e. for 595,6824 is 4060280
GCF of denominators i.e. for 764,796 is 4.
Thus, LCM of Fractions is 1015070.Finally, LCM of Fractions for 595/764, 6824/796 is 1015070.