Find the LCM of 453, 599, 675, 902, 990 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 453, 599, 675, 902, 990. So, keep reading to learn more.
Given numbers are 453,599,675,902,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,599,675,902,990 is 55069873650.
Find LCM of 453,599,675,902,990 with Prime Factorization
2 | 453, 599, 675, 902, 990 |
3 | 453, 599, 675, 451, 495 |
3 | 151, 599, 225, 451, 165 |
5 | 151, 599, 75, 451, 55 |
11 | 151, 599, 15, 451, 11 |
151, 599, 15, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 151 x 599 x 15 x 41 x 1 = 55069873650
Therefore, the lowest common multiple of 453,599,675,902,990 is 55069873650.
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.
453 x 599 x 675 x 902 x 990 = 163557524740500
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.
453 : 1, 3, 151, 453
599 : 1, 599
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
902 : 1, 2, 11, 22, 41, 82, 451, 902
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,599,675,902,990, is 1.
Now, the common factors can be found like this.
453:3x 151
599:599
675:3x 3x 3x 5x 5
902:2x 11x 41
990:2x 3x 3x 5x 11
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 5x 11 = 2970
Therefore, the value for common factors is 2970.
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 = 163557524740500/(1x2970)
LCM = 163557524740500/2970
LCM = 55069873650
Thus, we can understand that the LCM of 453,599,675,902,990 is 55069873650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 453, 599, 675, 902, 990?
Answer: LCM of 453, 599, 675, 902, 990 is 55069873650.
2. How to calculate the LCM of 453, 599, 675, 902, 990?
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 453, 599, 675, 902, 990.
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}.