Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 695/163, 7943/1258 quickly i.e. 5520385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 695/163, 7943/1258 is 5520385.
LCM(695/163, 7943/1258) = 5520385
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 695/163,7943/1258
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 695,7943
Least Common Multiple of Numerators i.e. LCM of 695,7943 is 5520385.
GCF of Denominators means GCF of 163,1258 as per the given fractions.
GCF of 163,1258 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 695,7943
Given numbers has no common factors except 1. So, there LCM is their product i.e 5520385
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 695,7943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,7943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,7943) x common factors =1 x 1 = 1
LCM(695,7943) = ( 695 × 7943 ) / 1
LCM(695,7943) = 5520385 / 1
LCM(695,7943) = 5520385
Lets's calculate GCF of 163,1258
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5520385/1
Therefore the LCM of Fractions 695/163,7943/1258 is 5520385
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 1258
List of positive integer factors of 1258 that divides 1258 without a remainder.
1,2,17,34,37,74,629,1258
Greatest Common Factor
We found the factors 163,1258 . The biggest common factor number is the GCF number.
So the greatest common factor 163,1258 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 695/163, 7943/1258?
Answer: LCM of Numerators as per given numbers 695/163, 7943/1258 is
LCM of Numerators i.e. for 695,7943 is 5520385
GCF of denominators i.e. for 163,1258 is 1.
Thus, LCM of Fractions is 5520385.Finally, LCM of Fractions for 695/163, 7943/1258 is 5520385.