Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 300/851, 5467/3965 quickly i.e. 1640100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 300/851, 5467/3965 is 1640100.
LCM(300/851, 5467/3965) = 1640100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 300/851,5467/3965
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 300,5467
Least Common Multiple of Numerators i.e. LCM of 300,5467 is 1640100.
GCF of Denominators means GCF of 851,3965 as per the given fractions.
GCF of 851,3965 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 300,5467
Given numbers has no common factors except 1. So, there LCM is their product i.e 1640100
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 300,5467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,5467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(300,5467) x common factors =1 x 1 = 1
LCM(300,5467) = ( 300 × 5467 ) / 1
LCM(300,5467) = 1640100 / 1
LCM(300,5467) = 1640100
Lets's calculate GCF of 851,3965
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1640100/1
Therefore the LCM of Fractions 300/851,5467/3965 is 1640100
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 3965
List of positive integer factors of 3965 that divides 3965 without a remainder.
1,5,13,61,65,305,793,3965
Greatest Common Factor
We found the factors 851,3965 . The biggest common factor number is the GCF number.
So the greatest common factor 851,3965 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 300/851, 5467/3965?
Answer: LCM of Numerators as per given numbers 300/851, 5467/3965 is
LCM of Numerators i.e. for 300,5467 is 1640100
GCF of denominators i.e. for 851,3965 is 1.
Thus, LCM of Fractions is 1640100.Finally, LCM of Fractions for 300/851, 5467/3965 is 1640100.