Find the LCM of 585, 630, 684, 911, 760 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 585, 630, 684, 911, 760. So, keep reading to learn more.
Given numbers are 585,630,684,911,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,630,684,911,760 is 567042840.
Find LCM of 585,630,684,911,760 with Prime Factorization
2 | 585, 630, 684, 911, 760 |
2 | 585, 315, 342, 911, 380 |
3 | 585, 315, 171, 911, 190 |
3 | 195, 105, 57, 911, 190 |
5 | 65, 35, 19, 911, 190 |
19 | 13, 7, 19, 911, 38 |
13, 7, 1, 911, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 19 x 13 x 7 x 1 x 911 x 2 = 567042840
Therefore, the lowest common multiple of 585,630,684,911,760 is 567042840.
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.
585 x 630 x 684 x 911 x 760 = 174535786152000
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
911 : 1, 911
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,630,684,911,760, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
630:2x 3x 3x 5x 7
684:2x 2x 3x 3x 19
911:911
760:2x 2x 2x 5x 19
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 3x 3x 3x 3x 5x 5x 19 = 307800
Therefore, the value for common factors is 307800.
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 = 174535786152000/(1x307800)
LCM = 174535786152000/307800
LCM = 567042840
Thus, we can understand that the LCM of 585,630,684,911,760 is 567042840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 585, 630, 684, 911, 760?
Answer: LCM of 585, 630, 684, 911, 760 is 567042840.
2. How to calculate the LCM of 585, 630, 684, 911, 760?
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 585, 630, 684, 911, 760.
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}.