Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 686/545, 955/913, 409/862 quickly i.e. 267948170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 686/545, 955/913, 409/862 is 267948170.
LCM(686/545, 955/913, 409/862) = 267948170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 686/545,955/913,409/862
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 686,955,409
Least Common Multiple of Numerators i.e. LCM of 686,955,409 is 267948170.
GCF of Denominators means GCF of 545,913,862 as per the given fractions.
GCF of 545,913,862 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 686,955,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 267948170
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 686,955,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,955,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,955,409) x common factors =1 x 1 = 1
LCM(686,955,409) = ( 686 × 955 × 409 ) / 1
LCM(686,955,409) = 267948170 / 1
LCM(686,955,409) = 267948170
Lets's calculate GCF of 545,913,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267948170/1
Therefore the LCM of Fractions 686/545,955/913,409/862 is 267948170
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 545,913,862 . The biggest common factor number is the GCF number.
So the greatest common factor 545,913,862 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 686/545, 955/913, 409/862?
Answer: LCM of Numerators as per given numbers 686/545, 955/913, 409/862 is
LCM of Numerators i.e. for 686,955,409 is 267948170
GCF of denominators i.e. for 545,913,862 is 1.
Thus, LCM of Fractions is 267948170.Finally, LCM of Fractions for 686/545, 955/913, 409/862 is 267948170.