Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4294/785, 4037/600 quickly i.e. 17334878/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4294/785, 4037/600 is 17334878/5.
LCM(4294/785, 4037/600) = 17334878/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4294/785,4037/600
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 4294,4037
Least Common Multiple of Numerators i.e. LCM of 4294,4037 is 17334878.
GCF of Denominators means GCF of 785,600 as per the given fractions.
GCF of 785,600 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4294,4037
Given numbers has no common factors except 1. So, there LCM is their product i.e 17334878
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 4294,4037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4294,4037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4294,4037) x common factors =1 x 1 = 1
LCM(4294,4037) = ( 4294 × 4037 ) / 1
LCM(4294,4037) = 17334878 / 1
LCM(4294,4037) = 17334878
Lets's calculate GCF of 785,600
5 | 785, 600 |
157, 120 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17334878/5
Therefore the LCM of Fractions 4294/785,4037/600 is 17334878/5
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 785,600 . The biggest common factor number is the GCF number.
So the greatest common factor 785,600 is 5.
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 4294/785, 4037/600?
Answer: LCM of Numerators as per given numbers 4294/785, 4037/600 is
LCM of Numerators i.e. for 4294,4037 is 17334878
GCF of denominators i.e. for 785,600 is 5.
Thus, LCM of Fractions is 17334878/5.Finally, LCM of Fractions for 4294/785, 4037/600 is 17334878/5.