Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 687/34, 8186/869 quickly i.e. 5623782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 687/34, 8186/869 is 5623782.
LCM(687/34, 8186/869) = 5623782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 687/34,8186/869
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 687,8186
Least Common Multiple of Numerators i.e. LCM of 687,8186 is 5623782.
GCF of Denominators means GCF of 34,869 as per the given fractions.
GCF of 34,869 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 687,8186
Given numbers has no common factors except 1. So, there LCM is their product i.e 5623782
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 687,8186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,8186) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,8186) x common factors =1 x 1 = 1
LCM(687,8186) = ( 687 × 8186 ) / 1
LCM(687,8186) = 5623782 / 1
LCM(687,8186) = 5623782
Lets's calculate GCF of 34,869
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5623782/1
Therefore the LCM of Fractions 687/34,8186/869 is 5623782
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Greatest Common Factor
We found the factors 34,869 . The biggest common factor number is the GCF number.
So the greatest common factor 34,869 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 687/34, 8186/869?
Answer: LCM of Numerators as per given numbers 687/34, 8186/869 is
LCM of Numerators i.e. for 687,8186 is 5623782
GCF of denominators i.e. for 34,869 is 1.
Thus, LCM of Fractions is 5623782.Finally, LCM of Fractions for 687/34, 8186/869 is 5623782.