Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 695/765, 390/785 quickly i.e. 10842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 695/765, 390/785 is 10842.
LCM(695/765, 390/785) = 10842
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 695/765,390/785
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 695,390
Least Common Multiple of Numerators i.e. LCM of 695,390 is 54210.
GCF of Denominators means GCF of 765,785 as per the given fractions.
GCF of 765,785 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 695,390
5 | 695, 390 |
139, 78 |
∴ So the LCM of the given numbers is 5 x 139 x 78 = 54210
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 695,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,390) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(695,390) x common factors =5 x 1 = 5
LCM(695,390) = ( 695 × 390 ) / 5
LCM(695,390) = 271050 / 5
LCM(695,390) = 54210
Lets's calculate GCF of 765,785
5 | 765, 785 |
153, 157 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54210/5
Therefore the LCM of Fractions 695/765,390/785 is 10842
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 765,785 . The biggest common factor number is the GCF number.
So the greatest common factor 765,785 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 695/765, 390/785?
Answer: LCM of Numerators as per given numbers 695/765, 390/785 is
LCM of Numerators i.e. for 695,390 is 54210
GCF of denominators i.e. for 765,785 is 5.
Thus, LCM of Fractions is 10842.Finally, LCM of Fractions for 695/765, 390/785 is 10842.