Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7416/122, 9561/688 quickly i.e. 11817396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7416/122, 9561/688 is 11817396.
LCM(7416/122, 9561/688) = 11817396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7416/122,9561/688
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 7416,9561
Least Common Multiple of Numerators i.e. LCM of 7416,9561 is 23634792.
GCF of Denominators means GCF of 122,688 as per the given fractions.
GCF of 122,688 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7416,9561
3 | 7416, 9561 |
2472, 3187 |
∴ So the LCM of the given numbers is 3 x 2472 x 3187 = 23634792
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 7416,9561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7416,9561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7416,9561) x common factors =3 x 1 = 3
LCM(7416,9561) = ( 7416 × 9561 ) / 3
LCM(7416,9561) = 70904376 / 3
LCM(7416,9561) = 23634792
Lets's calculate GCF of 122,688
2 | 122, 688 |
61, 344 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23634792/2
Therefore the LCM of Fractions 7416/122,9561/688 is 11817396
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 122,688 . The biggest common factor number is the GCF number.
So the greatest common factor 122,688 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 7416/122, 9561/688?
Answer: LCM of Numerators as per given numbers 7416/122, 9561/688 is
LCM of Numerators i.e. for 7416,9561 is 23634792
GCF of denominators i.e. for 122,688 is 2.
Thus, LCM of Fractions is 11817396.Finally, LCM of Fractions for 7416/122, 9561/688 is 11817396.