Find the LCM of 738, 741, 603, 628, 489 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 738, 741, 603, 628, 489. So, keep reading to learn more.
Given numbers are 738,741,603,628,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,741,603,628,489 is 625094057484.
Find LCM of 738,741,603,628,489 with Prime Factorization
2 | 738, 741, 603, 628, 489 |
3 | 369, 741, 603, 314, 489 |
3 | 123, 247, 201, 314, 163 |
41, 247, 67, 314, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 41 x 247 x 67 x 314 x 163 = 625094057484
Therefore, the lowest common multiple of 738,741,603,628,489 is 625094057484.
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.
738 x 741 x 603 x 628 x 489 = 101265237312408
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
741 : 1, 3, 13, 19, 39, 57, 247, 741
603 : 1, 3, 9, 67, 201, 603
628 : 1, 2, 4, 157, 314, 628
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,741,603,628,489, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
741:3x 13x 19
603:3x 3x 67
628:2x 2x 157
489:3x 163
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 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 101265237312408/(1x162)
LCM = 101265237312408/162
LCM = 625094057484
Thus, we can understand that the LCM of 738,741,603,628,489 is 625094057484.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 738, 741, 603, 628, 489?
Answer: LCM of 738, 741, 603, 628, 489 is 625094057484.
2. How to calculate the LCM of 738, 741, 603, 628, 489?
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 738, 741, 603, 628, 489.
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}.