Find the LCM of 722, 338, 417, 285, 603 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 722, 338, 417, 285, 603. So, keep reading to learn more.
Given numbers are 722,338,417,285,603
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,338,417,285,603 is 51135913530.
Find LCM of 722,338,417,285,603 with Prime Factorization
2 | 722, 338, 417, 285, 603 |
3 | 361, 169, 417, 285, 603 |
19 | 361, 169, 139, 95, 201 |
19, 169, 139, 5, 201 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 19 x 169 x 139 x 5 x 201 = 51135913530
Therefore, the lowest common multiple of 722,338,417,285,603 is 51135913530.
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.
722 x 338 x 417 x 285 x 603 = 17488482427260
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.
722 : 1, 2, 19, 38, 361, 722
338 : 1, 2, 13, 26, 169, 338
417 : 1, 3, 139, 417
285 : 1, 3, 5, 15, 19, 57, 95, 285
603 : 1, 3, 9, 67, 201, 603
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,338,417,285,603, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
338:2x 13x 13
417:3x 139
285:3x 5x 19
603:3x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 17488482427260/(1x342)
LCM = 17488482427260/342
LCM = 51135913530
Thus, we can understand that the LCM of 722,338,417,285,603 is 51135913530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 338, 417, 285, 603?
Answer: LCM of 722, 338, 417, 285, 603 is 51135913530.
2. How to calculate the LCM of 722, 338, 417, 285, 603?
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 722, 338, 417, 285, 603.
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}.