Find the LCM of 453, 768, 306, 561 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, 768, 306, 561. So, keep reading to learn more.
Given numbers are 453,768,306,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,768,306,561 is 65058048.
Find LCM of 453,768,306,561 with Prime Factorization
2 | 453, 768, 306, 561 |
3 | 453, 384, 153, 561 |
17 | 151, 128, 51, 187 |
151, 128, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 151 x 128 x 3 x 11 = 65058048
Therefore, the lowest common multiple of 453,768,306,561 is 65058048.
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 768 x 306 x 561 = 59723288064
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
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
561 : 1, 3, 11, 17, 33, 51, 187, 561
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,768,306,561, is 3.
Now, the common factors can be found like this.
453:3x 151
768:2x 2x 2x 2x 2x 2x 2x 2x 3
306:2x 3x 3x 17
561:3x 11x 17
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 17 = 306
Therefore, the value for common factors is 306.
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 = 59723288064/(3x306)
LCM = 59723288064/918
LCM = 65058048
Thus, we can understand that the LCM of 453,768,306,561 is 65058048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 453, 768, 306, 561?
Answer: LCM of 453, 768, 306, 561 is 65058048.
2. How to calculate the LCM of 453, 768, 306, 561?
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, 768, 306, 561.
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}.