Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 695/64, 611/8401 quickly i.e. 424645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 695/64, 611/8401 is 424645.
LCM(695/64, 611/8401) = 424645
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 695/64,611/8401
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 695,611
Least Common Multiple of Numerators i.e. LCM of 695,611 is 424645.
GCF of Denominators means GCF of 64,8401 as per the given fractions.
GCF of 64,8401 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 695,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 424645
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 695,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,611) x common factors =1 x 1 = 1
LCM(695,611) = ( 695 × 611 ) / 1
LCM(695,611) = 424645 / 1
LCM(695,611) = 424645
Lets's calculate GCF of 64,8401
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424645/1
Therefore the LCM of Fractions 695/64,611/8401 is 424645
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 8401
List of positive integer factors of 8401 that divides 8401 without a remainder.
1,31,271,8401
Greatest Common Factor
We found the factors 64,8401 . The biggest common factor number is the GCF number.
So the greatest common factor 64,8401 is 1.
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 695/64, 611/8401?
Answer: LCM of Numerators as per given numbers 695/64, 611/8401 is
LCM of Numerators i.e. for 695,611 is 424645
GCF of denominators i.e. for 64,8401 is 1.
Thus, LCM of Fractions is 424645.Finally, LCM of Fractions for 695/64, 611/8401 is 424645.