Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 805/99, 746/55, 656/22 quickly i.e. 196973840/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 805/99, 746/55, 656/22 is 196973840/11.
LCM(805/99, 746/55, 656/22) = 196973840/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 805/99,746/55,656/22
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 805,746,656
Least Common Multiple of Numerators i.e. LCM of 805,746,656 is 196973840.
GCF of Denominators means GCF of 99,55,22 as per the given fractions.
GCF of 99,55,22 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 805,746,656
2 | 805, 746, 656 |
805, 373, 328 |
∴ So the LCM of the given numbers is 2 x 805 x 373 x 328 = 196973840
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 805,746,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,746,656) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(805,746,656) x common factors =1 x 2 = 2
LCM(805,746,656) = ( 805 × 746 × 656 ) / 2
LCM(805,746,656) = 393947680 / 2
LCM(805,746,656) = 196973840
Lets's calculate GCF of 99,55,22
11 | 99, 55, 22 |
9, 5, 2 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196973840/11
Therefore the LCM of Fractions 805/99,746/55,656/22 is 196973840/11
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Greatest Common Factor
We found the factors 99,55,22 . The biggest common factor number is the GCF number.
So the greatest common factor 99,55,22 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 805/99, 746/55, 656/22?
Answer: LCM of Numerators as per given numbers 805/99, 746/55, 656/22 is
LCM of Numerators i.e. for 805,746,656 is 196973840
GCF of denominators i.e. for 99,55,22 is 11.
Thus, LCM of Fractions is 196973840/11.Finally, LCM of Fractions for 805/99, 746/55, 656/22 is 196973840/11.