Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 763/560, 8459/371 quickly i.e. 922031 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 763/560, 8459/371 is 922031.
LCM(763/560, 8459/371) = 922031
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 763/560,8459/371
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 763,8459
Least Common Multiple of Numerators i.e. LCM of 763,8459 is 6454217.
GCF of Denominators means GCF of 560,371 as per the given fractions.
GCF of 560,371 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 763,8459
Given numbers has no common factors except 1. So, there LCM is their product i.e 6454217
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 763,8459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,8459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,8459) x common factors =1 x 1 = 1
LCM(763,8459) = ( 763 × 8459 ) / 1
LCM(763,8459) = 6454217 / 1
LCM(763,8459) = 6454217
Lets's calculate GCF of 560,371
7 | 560, 371 |
80, 53 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6454217/7
Therefore the LCM of Fractions 763/560,8459/371 is 922031
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 560,371 . The biggest common factor number is the GCF number.
So the greatest common factor 560,371 is 7.
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 763/560, 8459/371?
Answer: LCM of Numerators as per given numbers 763/560, 8459/371 is
LCM of Numerators i.e. for 763,8459 is 6454217
GCF of denominators i.e. for 560,371 is 7.
Thus, LCM of Fractions is 922031.Finally, LCM of Fractions for 763/560, 8459/371 is 922031.