Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 367/77, 711/44, 497/495 quickly i.e. 129685689/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 367/77, 711/44, 497/495 is 129685689/11.
LCM(367/77, 711/44, 497/495) = 129685689/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 367/77,711/44,497/495
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 367,711,497
Least Common Multiple of Numerators i.e. LCM of 367,711,497 is 129685689.
GCF of Denominators means GCF of 77,44,495 as per the given fractions.
GCF of 77,44,495 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 367,711,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 129685689
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 367,711,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,711,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,711,497) x common factors =1 x 1 = 1
LCM(367,711,497) = ( 367 × 711 × 497 ) / 1
LCM(367,711,497) = 129685689 / 1
LCM(367,711,497) = 129685689
Lets's calculate GCF of 77,44,495
11 | 77, 44, 495 |
7, 4, 45 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129685689/11
Therefore the LCM of Fractions 367/77,711/44,497/495 is 129685689/11
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 77,44,495 . The biggest common factor number is the GCF number.
So the greatest common factor 77,44,495 is 11.
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 367/77, 711/44, 497/495?
Answer: LCM of Numerators as per given numbers 367/77, 711/44, 497/495 is
LCM of Numerators i.e. for 367,711,497 is 129685689
GCF of denominators i.e. for 77,44,495 is 11.
Thus, LCM of Fractions is 129685689/11.Finally, LCM of Fractions for 367/77, 711/44, 497/495 is 129685689/11.