Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 686/114, 7789/214 quickly i.e. 2671627 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 686/114, 7789/214 is 2671627.
LCM(686/114, 7789/214) = 2671627
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 686/114,7789/214
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 686,7789
Least Common Multiple of Numerators i.e. LCM of 686,7789 is 5343254.
GCF of Denominators means GCF of 114,214 as per the given fractions.
GCF of 114,214 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 686,7789
Given numbers has no common factors except 1. So, there LCM is their product i.e 5343254
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 686,7789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,7789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,7789) x common factors =1 x 1 = 1
LCM(686,7789) = ( 686 × 7789 ) / 1
LCM(686,7789) = 5343254 / 1
LCM(686,7789) = 5343254
Lets's calculate GCF of 114,214
2 | 114, 214 |
57, 107 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5343254/2
Therefore the LCM of Fractions 686/114,7789/214 is 2671627
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Greatest Common Factor
We found the factors 114,214 . The biggest common factor number is the GCF number.
So the greatest common factor 114,214 is 2.
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 686/114, 7789/214?
Answer: LCM of Numerators as per given numbers 686/114, 7789/214 is
LCM of Numerators i.e. for 686,7789 is 5343254
GCF of denominators i.e. for 114,214 is 2.
Thus, LCM of Fractions is 2671627.Finally, LCM of Fractions for 686/114, 7789/214 is 2671627.