Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 706/34, 877/8843 quickly i.e. 619162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 706/34, 877/8843 is 619162.
LCM(706/34, 877/8843) = 619162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 706/34,877/8843
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 706,877
Least Common Multiple of Numerators i.e. LCM of 706,877 is 619162.
GCF of Denominators means GCF of 34,8843 as per the given fractions.
GCF of 34,8843 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 706,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 619162
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 706,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,877) x common factors =1 x 1 = 1
LCM(706,877) = ( 706 × 877 ) / 1
LCM(706,877) = 619162 / 1
LCM(706,877) = 619162
Lets's calculate GCF of 34,8843
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 619162/1
Therefore the LCM of Fractions 706/34,877/8843 is 619162
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 8843
List of positive integer factors of 8843 that divides 8843 without a remainder.
1,37,239,8843
Greatest Common Factor
We found the factors 34,8843 . The biggest common factor number is the GCF number.
So the greatest common factor 34,8843 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 706/34, 877/8843?
Answer: LCM of Numerators as per given numbers 706/34, 877/8843 is
LCM of Numerators i.e. for 706,877 is 619162
GCF of denominators i.e. for 34,8843 is 1.
Thus, LCM of Fractions is 619162.Finally, LCM of Fractions for 706/34, 877/8843 is 619162.