Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 620/75, 773/6935 quickly i.e. 95852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 620/75, 773/6935 is 95852.
LCM(620/75, 773/6935) = 95852
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 620/75,773/6935
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 620,773
Least Common Multiple of Numerators i.e. LCM of 620,773 is 479260.
GCF of Denominators means GCF of 75,6935 as per the given fractions.
GCF of 75,6935 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 620,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 479260
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 620,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,773) x common factors =1 x 1 = 1
LCM(620,773) = ( 620 × 773 ) / 1
LCM(620,773) = 479260 / 1
LCM(620,773) = 479260
Lets's calculate GCF of 75,6935
5 | 75, 6935 |
15, 1387 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479260/5
Therefore the LCM of Fractions 620/75,773/6935 is 95852
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 6935
List of positive integer factors of 6935 that divides 6935 without a remainder.
1,5,19,73,95,365,1387,6935
Greatest Common Factor
We found the factors 75,6935 . The biggest common factor number is the GCF number.
So the greatest common factor 75,6935 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 620/75, 773/6935?
Answer: LCM of Numerators as per given numbers 620/75, 773/6935 is
LCM of Numerators i.e. for 620,773 is 479260
GCF of denominators i.e. for 75,6935 is 5.
Thus, LCM of Fractions is 95852.Finally, LCM of Fractions for 620/75, 773/6935 is 95852.