Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/188, 240/449, 947/969 quickly i.e. 681840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/188, 240/449, 947/969 is 681840.
LCM(18/188, 240/449, 947/969) = 681840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/188,240/449,947/969
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 18,240,947
Least Common Multiple of Numerators i.e. LCM of 18,240,947 is 681840.
GCF of Denominators means GCF of 188,449,969 as per the given fractions.
GCF of 188,449,969 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,240,947
2 | 18, 240, 947 |
3 | 9, 120, 947 |
3, 40, 947 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 40 x 947 = 681840
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 18,240,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,240,947) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(18,240,947) x common factors =1 x 6 = 6
LCM(18,240,947) = ( 18 × 240 × 947 ) / 6
LCM(18,240,947) = 4091040 / 6
LCM(18,240,947) = 681840
Lets's calculate GCF of 188,449,969
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 681840/1
Therefore the LCM of Fractions 18/188,240/449,947/969 is 681840
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 188,449,969 . The biggest common factor number is the GCF number.
So the greatest common factor 188,449,969 is 1.
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 18/188, 240/449, 947/969?
Answer: LCM of Numerators as per given numbers 18/188, 240/449, 947/969 is
LCM of Numerators i.e. for 18,240,947 is 681840
GCF of denominators i.e. for 188,449,969 is 1.
Thus, LCM of Fractions is 681840.Finally, LCM of Fractions for 18/188, 240/449, 947/969 is 681840.