Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1370/668, 4573/3841 quickly i.e. 6265010/167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1370/668, 4573/3841 is 6265010/167.
LCM(1370/668, 4573/3841) = 6265010/167
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1370/668,4573/3841
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 1370,4573
Least Common Multiple of Numerators i.e. LCM of 1370,4573 is 6265010.
GCF of Denominators means GCF of 668,3841 as per the given fractions.
GCF of 668,3841 is 167 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1370,4573
Given numbers has no common factors except 1. So, there LCM is their product i.e 6265010
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 1370,4573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1370,4573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1370,4573) x common factors =1 x 1 = 1
LCM(1370,4573) = ( 1370 × 4573 ) / 1
LCM(1370,4573) = 6265010 / 1
LCM(1370,4573) = 6265010
Lets's calculate GCF of 668,3841
167 | 668, 3841 |
4, 23 |
∴ So the GCF of the given numbers is 167 = 167
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6265010/167
Therefore the LCM of Fractions 1370/668,4573/3841 is 6265010/167
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 3841
List of positive integer factors of 3841 that divides 3841 without a remainder.
1,23,167,3841
Greatest Common Factor
We found the factors 668,3841 . The biggest common factor number is the GCF number.
So the greatest common factor 668,3841 is 167.
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 1370/668, 4573/3841?
Answer: LCM of Numerators as per given numbers 1370/668, 4573/3841 is
LCM of Numerators i.e. for 1370,4573 is 6265010
GCF of denominators i.e. for 668,3841 is 167.
Thus, LCM of Fractions is 6265010/167.Finally, LCM of Fractions for 1370/668, 4573/3841 is 6265010/167.