Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8943/696, 7499/967 quickly i.e. 67063557 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8943/696, 7499/967 is 67063557.
LCM(8943/696, 7499/967) = 67063557
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8943/696,7499/967
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 8943,7499
Least Common Multiple of Numerators i.e. LCM of 8943,7499 is 67063557.
GCF of Denominators means GCF of 696,967 as per the given fractions.
GCF of 696,967 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8943,7499
Given numbers has no common factors except 1. So, there LCM is their product i.e 67063557
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 8943,7499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8943,7499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8943,7499) x common factors =1 x 1 = 1
LCM(8943,7499) = ( 8943 × 7499 ) / 1
LCM(8943,7499) = 67063557 / 1
LCM(8943,7499) = 67063557
Lets's calculate GCF of 696,967
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67063557/1
Therefore the LCM of Fractions 8943/696,7499/967 is 67063557
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Greatest Common Factor
We found the factors 696,967 . The biggest common factor number is the GCF number.
So the greatest common factor 696,967 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 8943/696, 7499/967?
Answer: LCM of Numerators as per given numbers 8943/696, 7499/967 is
LCM of Numerators i.e. for 8943,7499 is 67063557
GCF of denominators i.e. for 696,967 is 1.
Thus, LCM of Fractions is 67063557.Finally, LCM of Fractions for 8943/696, 7499/967 is 67063557.