Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 844/736, 6759/722 quickly i.e. 2852298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 844/736, 6759/722 is 2852298.
LCM(844/736, 6759/722) = 2852298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 844/736,6759/722
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 844,6759
Least Common Multiple of Numerators i.e. LCM of 844,6759 is 5704596.
GCF of Denominators means GCF of 736,722 as per the given fractions.
GCF of 736,722 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 844,6759
Given numbers has no common factors except 1. So, there LCM is their product i.e 5704596
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 844,6759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,6759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,6759) x common factors =1 x 1 = 1
LCM(844,6759) = ( 844 × 6759 ) / 1
LCM(844,6759) = 5704596 / 1
LCM(844,6759) = 5704596
Lets's calculate GCF of 736,722
2 | 736, 722 |
368, 361 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5704596/2
Therefore the LCM of Fractions 844/736,6759/722 is 2852298
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 736,722 . The biggest common factor number is the GCF number.
So the greatest common factor 736,722 is 2.
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 844/736, 6759/722?
Answer: LCM of Numerators as per given numbers 844/736, 6759/722 is
LCM of Numerators i.e. for 844,6759 is 5704596
GCF of denominators i.e. for 736,722 is 2.
Thus, LCM of Fractions is 2852298.Finally, LCM of Fractions for 844/736, 6759/722 is 2852298.