Find the LCM of 337, 536, 589, 589 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 337, 536, 589, 589. So, keep reading to learn more.
Given numbers are 337,536,589,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,536,589,589 is 106392248.
Find LCM of 337,536,589,589 with Prime Factorization
19 | 337, 536, 589, 589 |
31 | 337, 536, 31, 31 |
337, 536, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
19 x 31 x 337 x 536 x 1 x 1 = 106392248
Therefore, the lowest common multiple of 337,536,589,589 is 106392248.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
337 x 536 x 589 x 589 = 62665034072
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
337 : 1, 337
536 : 1, 2, 4, 8, 67, 134, 268, 536
589 : 1, 19, 31, 589
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,536,589,589, is 1.
Now, the common factors can be found like this.
337:337
536:2x 2x 2x 67
589:19x 31
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 31 = 589
Therefore, the value for common factors is 589.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 62665034072/(1x589)
LCM = 62665034072/589
LCM = 106392248
Thus, we can understand that the LCM of 337,536,589,589 is 106392248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 337, 536, 589, 589?
Answer: LCM of 337, 536, 589, 589 is 106392248.
2. How to calculate the LCM of 337, 536, 589, 589?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 337, 536, 589, 589.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.