Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/70, 850/6428 quickly i.e. 73525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/70, 850/6428 is 73525.
LCM(865/70, 850/6428) = 73525
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/70,850/6428
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 865,850
Least Common Multiple of Numerators i.e. LCM of 865,850 is 147050.
GCF of Denominators means GCF of 70,6428 as per the given fractions.
GCF of 70,6428 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,850
5 | 865, 850 |
173, 170 |
∴ So the LCM of the given numbers is 5 x 173 x 170 = 147050
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 865,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,850) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,850) x common factors =5 x 1 = 5
LCM(865,850) = ( 865 × 850 ) / 5
LCM(865,850) = 735250 / 5
LCM(865,850) = 147050
Lets's calculate GCF of 70,6428
2 | 70, 6428 |
35, 3214 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147050/2
Therefore the LCM of Fractions 865/70,850/6428 is 73525
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 6428
List of positive integer factors of 6428 that divides 6428 without a remainder.
1,2,4,1607,3214,6428
Greatest Common Factor
We found the factors 70,6428 . The biggest common factor number is the GCF number.
So the greatest common factor 70,6428 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 865/70, 850/6428?
Answer: LCM of Numerators as per given numbers 865/70, 850/6428 is
LCM of Numerators i.e. for 865,850 is 147050
GCF of denominators i.e. for 70,6428 is 2.
Thus, LCM of Fractions is 73525.Finally, LCM of Fractions for 865/70, 850/6428 is 73525.