Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/800, 1574/2038 quickly i.e. 54303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/800, 1574/2038 is 54303.
LCM(69/800, 1574/2038) = 54303
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/800,1574/2038
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 69,1574
Least Common Multiple of Numerators i.e. LCM of 69,1574 is 108606.
GCF of Denominators means GCF of 800,2038 as per the given fractions.
GCF of 800,2038 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,1574
Given numbers has no common factors except 1. So, there LCM is their product i.e 108606
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 69,1574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,1574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,1574) x common factors =1 x 1 = 1
LCM(69,1574) = ( 69 × 1574 ) / 1
LCM(69,1574) = 108606 / 1
LCM(69,1574) = 108606
Lets's calculate GCF of 800,2038
2 | 800, 2038 |
400, 1019 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108606/2
Therefore the LCM of Fractions 69/800,1574/2038 is 54303
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 2038
List of positive integer factors of 2038 that divides 2038 without a remainder.
1,2,1019,2038
Greatest Common Factor
We found the factors 800,2038 . The biggest common factor number is the GCF number.
So the greatest common factor 800,2038 is 2.
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 69/800, 1574/2038?
Answer: LCM of Numerators as per given numbers 69/800, 1574/2038 is
LCM of Numerators i.e. for 69,1574 is 108606
GCF of denominators i.e. for 800,2038 is 2.
Thus, LCM of Fractions is 54303.Finally, LCM of Fractions for 69/800, 1574/2038 is 54303.