Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/346, 44/167, 887/331 quickly i.e. 1912372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/346, 44/167, 887/331 is 1912372.
LCM(98/346, 44/167, 887/331) = 1912372
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/346,44/167,887/331
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 98,44,887
Least Common Multiple of Numerators i.e. LCM of 98,44,887 is 1912372.
GCF of Denominators means GCF of 346,167,331 as per the given fractions.
GCF of 346,167,331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,44,887
2 | 98, 44, 887 |
49, 22, 887 |
∴ So the LCM of the given numbers is 2 x 49 x 22 x 887 = 1912372
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 98,44,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,44,887) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,44,887) x common factors =1 x 2 = 2
LCM(98,44,887) = ( 98 × 44 × 887 ) / 2
LCM(98,44,887) = 3824744 / 2
LCM(98,44,887) = 1912372
Lets's calculate GCF of 346,167,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1912372/1
Therefore the LCM of Fractions 98/346,44/167,887/331 is 1912372
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 346,167,331 . The biggest common factor number is the GCF number.
So the greatest common factor 346,167,331 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 98/346, 44/167, 887/331?
Answer: LCM of Numerators as per given numbers 98/346, 44/167, 887/331 is
LCM of Numerators i.e. for 98,44,887 is 1912372
GCF of denominators i.e. for 346,167,331 is 1.
Thus, LCM of Fractions is 1912372.Finally, LCM of Fractions for 98/346, 44/167, 887/331 is 1912372.