Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 143/49, 837/18, 334/498 quickly i.e. 39976794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 143/49, 837/18, 334/498 is 39976794.
LCM(143/49, 837/18, 334/498) = 39976794
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 143/49,837/18,334/498
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 143,837,334
Least Common Multiple of Numerators i.e. LCM of 143,837,334 is 39976794.
GCF of Denominators means GCF of 49,18,498 as per the given fractions.
GCF of 49,18,498 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 143,837,334
Given numbers has no common factors except 1. So, there LCM is their product i.e 39976794
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 143,837,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,837,334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,837,334) x common factors =1 x 1 = 1
LCM(143,837,334) = ( 143 × 837 × 334 ) / 1
LCM(143,837,334) = 39976794 / 1
LCM(143,837,334) = 39976794
Lets's calculate GCF of 49,18,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39976794/1
Therefore the LCM of Fractions 143/49,837/18,334/498 is 39976794
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 49,18,498 . The biggest common factor number is the GCF number.
So the greatest common factor 49,18,498 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 143/49, 837/18, 334/498?
Answer: LCM of Numerators as per given numbers 143/49, 837/18, 334/498 is
LCM of Numerators i.e. for 143,837,334 is 39976794
GCF of denominators i.e. for 49,18,498 is 1.
Thus, LCM of Fractions is 39976794.Finally, LCM of Fractions for 143/49, 837/18, 334/498 is 39976794.