Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5895/669, 4708/570 quickly i.e. 9251220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5895/669, 4708/570 is 9251220.
LCM(5895/669, 4708/570) = 9251220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5895/669,4708/570
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 5895,4708
Least Common Multiple of Numerators i.e. LCM of 5895,4708 is 27753660.
GCF of Denominators means GCF of 669,570 as per the given fractions.
GCF of 669,570 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5895,4708
Given numbers has no common factors except 1. So, there LCM is their product i.e 27753660
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 5895,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5895,4708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5895,4708) x common factors =1 x 1 = 1
LCM(5895,4708) = ( 5895 × 4708 ) / 1
LCM(5895,4708) = 27753660 / 1
LCM(5895,4708) = 27753660
Lets's calculate GCF of 669,570
3 | 669, 570 |
223, 190 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27753660/3
Therefore the LCM of Fractions 5895/669,4708/570 is 9251220
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 669,570 . The biggest common factor number is the GCF number.
So the greatest common factor 669,570 is 3.
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 5895/669, 4708/570?
Answer: LCM of Numerators as per given numbers 5895/669, 4708/570 is
LCM of Numerators i.e. for 5895,4708 is 27753660
GCF of denominators i.e. for 669,570 is 3.
Thus, LCM of Fractions is 9251220.Finally, LCM of Fractions for 5895/669, 4708/570 is 9251220.