Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/111, 61/672, 495/777 quickly i.e. 130845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/111, 61/672, 495/777 is 130845.
LCM(13/111, 61/672, 495/777) = 130845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/111,61/672,495/777
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 13,61,495
Least Common Multiple of Numerators i.e. LCM of 13,61,495 is 392535.
GCF of Denominators means GCF of 111,672,777 as per the given fractions.
GCF of 111,672,777 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,61,495
Given numbers has no common factors except 1. So, there LCM is their product i.e 392535
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 13,61,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,61,495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,61,495) x common factors =1 x 1 = 1
LCM(13,61,495) = ( 13 × 61 × 495 ) / 1
LCM(13,61,495) = 392535 / 1
LCM(13,61,495) = 392535
Lets's calculate GCF of 111,672,777
3 | 111, 672, 777 |
37, 224, 259 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392535/3
Therefore the LCM of Fractions 13/111,61/672,495/777 is 130845
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 111,672,777 . The biggest common factor number is the GCF number.
So the greatest common factor 111,672,777 is 3.
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 13/111, 61/672, 495/777?
Answer: LCM of Numerators as per given numbers 13/111, 61/672, 495/777 is
LCM of Numerators i.e. for 13,61,495 is 392535
GCF of denominators i.e. for 111,672,777 is 3.
Thus, LCM of Fractions is 130845.Finally, LCM of Fractions for 13/111, 61/672, 495/777 is 130845.