Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 143/744, 137/747 quickly i.e. 19591/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 143/744, 137/747 is 19591/3.
LCM(143/744, 137/747) = 19591/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 143/744,137/747
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 143,137
Least Common Multiple of Numerators i.e. LCM of 143,137 is 19591.
GCF of Denominators means GCF of 744,747 as per the given fractions.
GCF of 744,747 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 143,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 19591
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 143,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,137) x common factors =1 x 1 = 1
LCM(143,137) = ( 143 × 137 ) / 1
LCM(143,137) = 19591 / 1
LCM(143,137) = 19591
Lets's calculate GCF of 744,747
3 | 744, 747 |
248, 249 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19591/3
Therefore the LCM of Fractions 143/744,137/747 is 19591/3
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 744,747 . The biggest common factor number is the GCF number.
So the greatest common factor 744,747 is 3.
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 143/744, 137/747?
Answer: LCM of Numerators as per given numbers 143/744, 137/747 is
LCM of Numerators i.e. for 143,137 is 19591
GCF of denominators i.e. for 744,747 is 3.
Thus, LCM of Fractions is 19591/3.Finally, LCM of Fractions for 143/744, 137/747 is 19591/3.