Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/222, 95/844, 873/922 quickly i.e. 5556645/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/222, 95/844, 873/922 is 5556645/2.
LCM(67/222, 95/844, 873/922) = 5556645/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/222,95/844,873/922
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 67,95,873
Least Common Multiple of Numerators i.e. LCM of 67,95,873 is 5556645.
GCF of Denominators means GCF of 222,844,922 as per the given fractions.
GCF of 222,844,922 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,95,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 5556645
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 67,95,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,95,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,95,873) x common factors =1 x 1 = 1
LCM(67,95,873) = ( 67 × 95 × 873 ) / 1
LCM(67,95,873) = 5556645 / 1
LCM(67,95,873) = 5556645
Lets's calculate GCF of 222,844,922
2 | 222, 844, 922 |
111, 422, 461 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5556645/2
Therefore the LCM of Fractions 67/222,95/844,873/922 is 5556645/2
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 222,844,922 . The biggest common factor number is the GCF number.
So the greatest common factor 222,844,922 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 67/222, 95/844, 873/922?
Answer: LCM of Numerators as per given numbers 67/222, 95/844, 873/922 is
LCM of Numerators i.e. for 67,95,873 is 5556645
GCF of denominators i.e. for 222,844,922 is 2.
Thus, LCM of Fractions is 5556645/2.Finally, LCM of Fractions for 67/222, 95/844, 873/922 is 5556645/2.