Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 911/247, 402/884 quickly i.e. 366222/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 911/247, 402/884 is 366222/13.
LCM(911/247, 402/884) = 366222/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 911/247,402/884
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 911,402
Least Common Multiple of Numerators i.e. LCM of 911,402 is 366222.
GCF of Denominators means GCF of 247,884 as per the given fractions.
GCF of 247,884 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 911,402
Given numbers has no common factors except 1. So, there LCM is their product i.e 366222
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 911,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,402) x common factors =1 x 1 = 1
LCM(911,402) = ( 911 × 402 ) / 1
LCM(911,402) = 366222 / 1
LCM(911,402) = 366222
Lets's calculate GCF of 247,884
13 | 247, 884 |
19, 68 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366222/13
Therefore the LCM of Fractions 911/247,402/884 is 366222/13
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 247,884 . The biggest common factor number is the GCF number.
So the greatest common factor 247,884 is 13.
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 911/247, 402/884?
Answer: LCM of Numerators as per given numbers 911/247, 402/884 is
LCM of Numerators i.e. for 911,402 is 366222
GCF of denominators i.e. for 247,884 is 13.
Thus, LCM of Fractions is 366222/13.Finally, LCM of Fractions for 911/247, 402/884 is 366222/13.