Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8946/222, 6949/418 quickly i.e. 31082877 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8946/222, 6949/418 is 31082877.
LCM(8946/222, 6949/418) = 31082877
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8946/222,6949/418
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 8946,6949
Least Common Multiple of Numerators i.e. LCM of 8946,6949 is 62165754.
GCF of Denominators means GCF of 222,418 as per the given fractions.
GCF of 222,418 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8946,6949
Given numbers has no common factors except 1. So, there LCM is their product i.e 62165754
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 8946,6949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8946,6949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8946,6949) x common factors =1 x 1 = 1
LCM(8946,6949) = ( 8946 × 6949 ) / 1
LCM(8946,6949) = 62165754 / 1
LCM(8946,6949) = 62165754
Lets's calculate GCF of 222,418
2 | 222, 418 |
111, 209 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62165754/2
Therefore the LCM of Fractions 8946/222,6949/418 is 31082877
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 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 222,418 . The biggest common factor number is the GCF number.
So the greatest common factor 222,418 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 8946/222, 6949/418?
Answer: LCM of Numerators as per given numbers 8946/222, 6949/418 is
LCM of Numerators i.e. for 8946,6949 is 62165754
GCF of denominators i.e. for 222,418 is 2.
Thus, LCM of Fractions is 31082877.Finally, LCM of Fractions for 8946/222, 6949/418 is 31082877.