Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1533/851, 4222/8609 quickly i.e. 6472326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1533/851, 4222/8609 is 6472326.
LCM(1533/851, 4222/8609) = 6472326
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1533/851,4222/8609
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 1533,4222
Least Common Multiple of Numerators i.e. LCM of 1533,4222 is 6472326.
GCF of Denominators means GCF of 851,8609 as per the given fractions.
GCF of 851,8609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1533,4222
Given numbers has no common factors except 1. So, there LCM is their product i.e 6472326
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 1533,4222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1533,4222) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1533,4222) x common factors =1 x 1 = 1
LCM(1533,4222) = ( 1533 × 4222 ) / 1
LCM(1533,4222) = 6472326 / 1
LCM(1533,4222) = 6472326
Lets's calculate GCF of 851,8609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6472326/1
Therefore the LCM of Fractions 1533/851,4222/8609 is 6472326
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 8609
List of positive integer factors of 8609 that divides 8609 without a remainder.
1,8609
Greatest Common Factor
We found the factors 851,8609 . The biggest common factor number is the GCF number.
So the greatest common factor 851,8609 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 1533/851, 4222/8609?
Answer: LCM of Numerators as per given numbers 1533/851, 4222/8609 is
LCM of Numerators i.e. for 1533,4222 is 6472326
GCF of denominators i.e. for 851,8609 is 1.
Thus, LCM of Fractions is 6472326.Finally, LCM of Fractions for 1533/851, 4222/8609 is 6472326.