Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 608/950, 9094/822 quickly i.e. 1382288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 608/950, 9094/822 is 1382288.
LCM(608/950, 9094/822) = 1382288
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 608/950,9094/822
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 608,9094
Least Common Multiple of Numerators i.e. LCM of 608,9094 is 2764576.
GCF of Denominators means GCF of 950,822 as per the given fractions.
GCF of 950,822 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 608,9094
2 | 608, 9094 |
304, 4547 |
∴ So the LCM of the given numbers is 2 x 304 x 4547 = 2764576
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 608,9094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,9094) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(608,9094) x common factors =2 x 1 = 2
LCM(608,9094) = ( 608 × 9094 ) / 2
LCM(608,9094) = 5529152 / 2
LCM(608,9094) = 2764576
Lets's calculate GCF of 950,822
2 | 950, 822 |
475, 411 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2764576/2
Therefore the LCM of Fractions 608/950,9094/822 is 1382288
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 950,822 . The biggest common factor number is the GCF number.
So the greatest common factor 950,822 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 608/950, 9094/822?
Answer: LCM of Numerators as per given numbers 608/950, 9094/822 is
LCM of Numerators i.e. for 608,9094 is 2764576
GCF of denominators i.e. for 950,822 is 2.
Thus, LCM of Fractions is 1382288.Finally, LCM of Fractions for 608/950, 9094/822 is 1382288.