Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 695/85, 4567/810 quickly i.e. 634813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 695/85, 4567/810 is 634813.
LCM(695/85, 4567/810) = 634813
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 695/85,4567/810
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 695,4567
Least Common Multiple of Numerators i.e. LCM of 695,4567 is 3174065.
GCF of Denominators means GCF of 85,810 as per the given fractions.
GCF of 85,810 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 695,4567
Given numbers has no common factors except 1. So, there LCM is their product i.e 3174065
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 695,4567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,4567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,4567) x common factors =1 x 1 = 1
LCM(695,4567) = ( 695 × 4567 ) / 1
LCM(695,4567) = 3174065 / 1
LCM(695,4567) = 3174065
Lets's calculate GCF of 85,810
5 | 85, 810 |
17, 162 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3174065/5
Therefore the LCM of Fractions 695/85,4567/810 is 634813
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 85,810 . The biggest common factor number is the GCF number.
So the greatest common factor 85,810 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 695/85, 4567/810?
Answer: LCM of Numerators as per given numbers 695/85, 4567/810 is
LCM of Numerators i.e. for 695,4567 is 3174065
GCF of denominators i.e. for 85,810 is 5.
Thus, LCM of Fractions is 634813.Finally, LCM of Fractions for 695/85, 4567/810 is 634813.