Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/14, 672/13, 441/872 quickly i.e. 14112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/14, 672/13, 441/872 is 14112.
LCM(98/14, 672/13, 441/872) = 14112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/14,672/13,441/872
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 98,672,441
Least Common Multiple of Numerators i.e. LCM of 98,672,441 is 14112.
GCF of Denominators means GCF of 14,13,872 as per the given fractions.
GCF of 14,13,872 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,672,441
2 | 98, 672, 441 |
3 | 49, 336, 441 |
7 | 49, 112, 147 |
7 | 7, 16, 21 |
1, 16, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 1 x 16 x 3 = 14112
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 98,672,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,672,441) = 7
common factors(in case of two or more numbers have common factors) = 294
GCF(98,672,441) x common factors =7 x 294 = 2058
LCM(98,672,441) = ( 98 × 672 × 441 ) / 2058
LCM(98,672,441) = 29042496 / 2058
LCM(98,672,441) = 14112
Lets's calculate GCF of 14,13,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14112/1
Therefore the LCM of Fractions 98/14,672/13,441/872 is 14112
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 14,13,872 . The biggest common factor number is the GCF number.
So the greatest common factor 14,13,872 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 98/14, 672/13, 441/872?
Answer: LCM of Numerators as per given numbers 98/14, 672/13, 441/872 is
LCM of Numerators i.e. for 98,672,441 is 14112
GCF of denominators i.e. for 14,13,872 is 1.
Thus, LCM of Fractions is 14112.Finally, LCM of Fractions for 98/14, 672/13, 441/872 is 14112.