Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 777/358, 195/994, 404/497 quickly i.e. 20404020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 777/358, 195/994, 404/497 is 20404020.
LCM(777/358, 195/994, 404/497) = 20404020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 777/358,195/994,404/497
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 777,195,404
Least Common Multiple of Numerators i.e. LCM of 777,195,404 is 20404020.
GCF of Denominators means GCF of 358,994,497 as per the given fractions.
GCF of 358,994,497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 777,195,404
3 | 777, 195, 404 |
259, 65, 404 |
∴ So the LCM of the given numbers is 3 x 259 x 65 x 404 = 20404020
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 777,195,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,195,404) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(777,195,404) x common factors =1 x 3 = 3
LCM(777,195,404) = ( 777 × 195 × 404 ) / 3
LCM(777,195,404) = 61212060 / 3
LCM(777,195,404) = 20404020
Lets's calculate GCF of 358,994,497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20404020/1
Therefore the LCM of Fractions 777/358,195/994,404/497 is 20404020
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Greatest Common Factor
We found the factors 358,994,497 . The biggest common factor number is the GCF number.
So the greatest common factor 358,994,497 is 1.
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 777/358, 195/994, 404/497?
Answer: LCM of Numerators as per given numbers 777/358, 195/994, 404/497 is
LCM of Numerators i.e. for 777,195,404 is 20404020
GCF of denominators i.e. for 358,994,497 is 1.
Thus, LCM of Fractions is 20404020.Finally, LCM of Fractions for 777/358, 195/994, 404/497 is 20404020.