Find the LCM of 607, 361, 323, 596, 693 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 607, 361, 323, 596, 693. So, keep reading to learn more.
Given numbers are 607,361,323,596,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,361,323,596,693 is 1538594971452.
Find LCM of 607,361,323,596,693 with Prime Factorization
19 | 607, 361, 323, 596, 693 |
607, 19, 17, 596, 693 |
Multiply the prime numbers at the bottom and the left side.
19 x 607 x 19 x 17 x 596 x 693 = 1538594971452
Therefore, the lowest common multiple of 607,361,323,596,693 is 1538594971452.
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.
607 x 361 x 323 x 596 x 693 = 29233304457588
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.
607 : 1, 607
361 : 1, 19, 361
323 : 1, 17, 19, 323
596 : 1, 2, 4, 149, 298, 596
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,361,323,596,693, is 1.
Now, the common factors can be found like this.
607:607
361:19x 19
323:17x 19
596:2x 2x 149
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 29233304457588/(1x19)
LCM = 29233304457588/19
LCM = 1538594971452
Thus, we can understand that the LCM of 607,361,323,596,693 is 1538594971452.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 607, 361, 323, 596, 693?
Answer: LCM of 607, 361, 323, 596, 693 is 1538594971452.
2. How to calculate the LCM of 607, 361, 323, 596, 693?
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 607, 361, 323, 596, 693.
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}.