Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 674/848, 8375/8521 quickly i.e. 5644750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 674/848, 8375/8521 is 5644750.
LCM(674/848, 8375/8521) = 5644750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 674/848,8375/8521
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 674,8375
Least Common Multiple of Numerators i.e. LCM of 674,8375 is 5644750.
GCF of Denominators means GCF of 848,8521 as per the given fractions.
GCF of 848,8521 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 674,8375
Given numbers has no common factors except 1. So, there LCM is their product i.e 5644750
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 674,8375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,8375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,8375) x common factors =1 x 1 = 1
LCM(674,8375) = ( 674 × 8375 ) / 1
LCM(674,8375) = 5644750 / 1
LCM(674,8375) = 5644750
Lets's calculate GCF of 848,8521
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5644750/1
Therefore the LCM of Fractions 674/848,8375/8521 is 5644750
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 8521
List of positive integer factors of 8521 that divides 8521 without a remainder.
1,8521
Greatest Common Factor
We found the factors 848,8521 . The biggest common factor number is the GCF number.
So the greatest common factor 848,8521 is 1.
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 674/848, 8375/8521?
Answer: LCM of Numerators as per given numbers 674/848, 8375/8521 is
LCM of Numerators i.e. for 674,8375 is 5644750
GCF of denominators i.e. for 848,8521 is 1.
Thus, LCM of Fractions is 5644750.Finally, LCM of Fractions for 674/848, 8375/8521 is 5644750.