Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 989/294, 181/703, 172/448 quickly i.e. 716036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 989/294, 181/703, 172/448 is 716036.
LCM(989/294, 181/703, 172/448) = 716036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 989/294,181/703,172/448
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 989,181,172
Least Common Multiple of Numerators i.e. LCM of 989,181,172 is 716036.
GCF of Denominators means GCF of 294,703,448 as per the given fractions.
GCF of 294,703,448 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 989,181,172
43 | 989, 181, 172 |
23, 181, 4 |
∴ So the LCM of the given numbers is 43 x 23 x 181 x 4 = 716036
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 989,181,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,181,172) = 1
common factors(in case of two or more numbers have common factors) = 43
GCF(989,181,172) x common factors =1 x 43 = 43
LCM(989,181,172) = ( 989 × 181 × 172 ) / 43
LCM(989,181,172) = 30789548 / 43
LCM(989,181,172) = 716036
Lets's calculate GCF of 294,703,448
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 716036/1
Therefore the LCM of Fractions 989/294,181/703,172/448 is 716036
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
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 294,703,448 . The biggest common factor number is the GCF number.
So the greatest common factor 294,703,448 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 989/294, 181/703, 172/448?
Answer: LCM of Numerators as per given numbers 989/294, 181/703, 172/448 is
LCM of Numerators i.e. for 989,181,172 is 716036
GCF of denominators i.e. for 294,703,448 is 1.
Thus, LCM of Fractions is 716036.Finally, LCM of Fractions for 989/294, 181/703, 172/448 is 716036.