Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 818/122, 1170/694 quickly i.e. 239265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 818/122, 1170/694 is 239265.
LCM(818/122, 1170/694) = 239265
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 818/122,1170/694
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 818,1170
Least Common Multiple of Numerators i.e. LCM of 818,1170 is 478530.
GCF of Denominators means GCF of 122,694 as per the given fractions.
GCF of 122,694 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 818,1170
2 | 818, 1170 |
409, 585 |
∴ So the LCM of the given numbers is 2 x 409 x 585 = 478530
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 818,1170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,1170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,1170) x common factors =2 x 1 = 2
LCM(818,1170) = ( 818 × 1170 ) / 2
LCM(818,1170) = 957060 / 2
LCM(818,1170) = 478530
Lets's calculate GCF of 122,694
2 | 122, 694 |
61, 347 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478530/2
Therefore the LCM of Fractions 818/122,1170/694 is 239265
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 122,694 . The biggest common factor number is the GCF number.
So the greatest common factor 122,694 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 818/122, 1170/694?
Answer: LCM of Numerators as per given numbers 818/122, 1170/694 is
LCM of Numerators i.e. for 818,1170 is 478530
GCF of denominators i.e. for 122,694 is 2.
Thus, LCM of Fractions is 239265.Finally, LCM of Fractions for 818/122, 1170/694 is 239265.