Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 999/44, 988/22, 199/448 quickly i.e. 98207694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 999/44, 988/22, 199/448 is 98207694.
LCM(999/44, 988/22, 199/448) = 98207694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 999/44,988/22,199/448
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 999,988,199
Least Common Multiple of Numerators i.e. LCM of 999,988,199 is 196415388.
GCF of Denominators means GCF of 44,22,448 as per the given fractions.
GCF of 44,22,448 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 999,988,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 196415388
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 999,988,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,988,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,988,199) x common factors =1 x 1 = 1
LCM(999,988,199) = ( 999 × 988 × 199 ) / 1
LCM(999,988,199) = 196415388 / 1
LCM(999,988,199) = 196415388
Lets's calculate GCF of 44,22,448
2 | 44, 22, 448 |
22, 11, 224 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196415388/2
Therefore the LCM of Fractions 999/44,988/22,199/448 is 98207694
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 44,22,448 . The biggest common factor number is the GCF number.
So the greatest common factor 44,22,448 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 999/44, 988/22, 199/448?
Answer: LCM of Numerators as per given numbers 999/44, 988/22, 199/448 is
LCM of Numerators i.e. for 999,988,199 is 196415388
GCF of denominators i.e. for 44,22,448 is 2.
Thus, LCM of Fractions is 98207694.Finally, LCM of Fractions for 999/44, 988/22, 199/448 is 98207694.