Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 773/862, 7255/722 quickly i.e. 5608115/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 773/862, 7255/722 is 5608115/2.
LCM(773/862, 7255/722) = 5608115/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 773/862,7255/722
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 773,7255
Least Common Multiple of Numerators i.e. LCM of 773,7255 is 5608115.
GCF of Denominators means GCF of 862,722 as per the given fractions.
GCF of 862,722 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 773,7255
Given numbers has no common factors except 1. So, there LCM is their product i.e 5608115
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 773,7255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,7255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,7255) x common factors =1 x 1 = 1
LCM(773,7255) = ( 773 × 7255 ) / 1
LCM(773,7255) = 5608115 / 1
LCM(773,7255) = 5608115
Lets's calculate GCF of 862,722
2 | 862, 722 |
431, 361 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5608115/2
Therefore the LCM of Fractions 773/862,7255/722 is 5608115/2
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
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 862,722 . The biggest common factor number is the GCF number.
So the greatest common factor 862,722 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 773/862, 7255/722?
Answer: LCM of Numerators as per given numbers 773/862, 7255/722 is
LCM of Numerators i.e. for 773,7255 is 5608115
GCF of denominators i.e. for 862,722 is 2.
Thus, LCM of Fractions is 5608115/2.Finally, LCM of Fractions for 773/862, 7255/722 is 5608115/2.