Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 930/818, 686/718 quickly i.e. 159495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 930/818, 686/718 is 159495.
LCM(930/818, 686/718) = 159495
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 930/818,686/718
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 930,686
Least Common Multiple of Numerators i.e. LCM of 930,686 is 318990.
GCF of Denominators means GCF of 818,718 as per the given fractions.
GCF of 818,718 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 930,686
2 | 930, 686 |
465, 343 |
∴ So the LCM of the given numbers is 2 x 465 x 343 = 318990
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 930,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(930,686) x common factors =2 x 1 = 2
LCM(930,686) = ( 930 × 686 ) / 2
LCM(930,686) = 637980 / 2
LCM(930,686) = 318990
Lets's calculate GCF of 818,718
2 | 818, 718 |
409, 359 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318990/2
Therefore the LCM of Fractions 930/818,686/718 is 159495
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 818,718 . The biggest common factor number is the GCF number.
So the greatest common factor 818,718 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 930/818, 686/718?
Answer: LCM of Numerators as per given numbers 930/818, 686/718 is
LCM of Numerators i.e. for 930,686 is 318990
GCF of denominators i.e. for 818,718 is 2.
Thus, LCM of Fractions is 159495.Finally, LCM of Fractions for 930/818, 686/718 is 159495.