Find the LCM of 630, 884, 299, 459, 755 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 630, 884, 299, 459, 755. So, keep reading to learn more.
Given numbers are 630,884,299,459,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,884,299,459,755 is 2901274740.
Find LCM of 630,884,299,459,755 with Prime Factorization
2 | 630, 884, 299, 459, 755 |
3 | 315, 442, 299, 459, 755 |
3 | 105, 442, 299, 153, 755 |
5 | 35, 442, 299, 51, 755 |
13 | 7, 442, 299, 51, 151 |
17 | 7, 34, 23, 51, 151 |
7, 2, 23, 3, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 17 x 7 x 2 x 23 x 3 x 151 = 2901274740
Therefore, the lowest common multiple of 630,884,299,459,755 is 2901274740.
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.
630 x 884 x 299 x 459 x 755 = 57706354578600
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
299 : 1, 13, 23, 299
459 : 1, 3, 9, 17, 27, 51, 153, 459
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,884,299,459,755, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
884:2x 2x 13x 17
299:13x 23
459:3x 3x 3x 17
755:5x 151
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 5x 13x 17 = 19890
Therefore, the value for common factors is 19890.
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 = 57706354578600/(1x19890)
LCM = 57706354578600/19890
LCM = 2901274740
Thus, we can understand that the LCM of 630,884,299,459,755 is 2901274740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 884, 299, 459, 755?
Answer: LCM of 630, 884, 299, 459, 755 is 2901274740.
2. How to calculate the LCM of 630, 884, 299, 459, 755?
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 630, 884, 299, 459, 755.
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}.