Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 773/438, 6316/756 quickly i.e. 4882268/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 773/438, 6316/756 is 4882268/6.
LCM(773/438, 6316/756) = 4882268/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 773/438,6316/756
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 773,6316
Least Common Multiple of Numerators i.e. LCM of 773,6316 is 4882268.
GCF of Denominators means GCF of 438,756 as per the given fractions.
GCF of 438,756 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 773,6316
Given numbers has no common factors except 1. So, there LCM is their product i.e 4882268
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 773,6316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,6316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,6316) x common factors =1 x 1 = 1
LCM(773,6316) = ( 773 × 6316 ) / 1
LCM(773,6316) = 4882268 / 1
LCM(773,6316) = 4882268
Lets's calculate GCF of 438,756
2 | 438, 756 |
3 | 219, 378 |
73, 126 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4882268/6
Therefore the LCM of Fractions 773/438,6316/756 is 4882268/6
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 438,756 . The biggest common factor number is the GCF number.
So the greatest common factor 438,756 is 6.
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 773/438, 6316/756?
Answer: LCM of Numerators as per given numbers 773/438, 6316/756 is
LCM of Numerators i.e. for 773,6316 is 4882268
GCF of denominators i.e. for 438,756 is 6.
Thus, LCM of Fractions is 4882268/6.Finally, LCM of Fractions for 773/438, 6316/756 is 4882268/6.