Find the LCM of 328, 418, 740, 703, 450 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 328, 418, 740, 703, 450. So, keep reading to learn more.
Given numbers are 328,418,740,703,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,418,740,703,450 is 570695400.
Find LCM of 328,418,740,703,450 with Prime Factorization
2 | 328, 418, 740, 703, 450 |
2 | 164, 209, 370, 703, 225 |
5 | 82, 209, 185, 703, 225 |
19 | 82, 209, 37, 703, 45 |
37 | 82, 11, 37, 37, 45 |
82, 11, 1, 1, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 37 x 82 x 11 x 1 x 1 x 45 = 570695400
Therefore, the lowest common multiple of 328,418,740,703,450 is 570695400.
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.
328 x 418 x 740 x 703 x 450 = 32095909296000
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
418 : 1, 2, 11, 19, 22, 38, 209, 418
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
703 : 1, 19, 37, 703
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,418,740,703,450, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
418:2x 11x 19
740:2x 2x 5x 37
703:19x 37
450:2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 19x 37 = 56240
Therefore, the value for common factors is 56240.
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 = 32095909296000/(1x56240)
LCM = 32095909296000/56240
LCM = 570695400
Thus, we can understand that the LCM of 328,418,740,703,450 is 570695400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 418, 740, 703, 450?
Answer: LCM of 328, 418, 740, 703, 450 is 570695400.
2. How to calculate the LCM of 328, 418, 740, 703, 450?
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 328, 418, 740, 703, 450.
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}.