Find the LCM of 660, 336, 693, 806, 247 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 660, 336, 693, 806, 247. So, keep reading to learn more.
Given numbers are 660,336,693,806,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,336,693,806,247 is 424504080.
Find LCM of 660,336,693,806,247 with Prime Factorization
2 | 660, 336, 693, 806, 247 |
2 | 330, 168, 693, 403, 247 |
3 | 165, 84, 693, 403, 247 |
7 | 55, 28, 231, 403, 247 |
11 | 55, 4, 33, 403, 247 |
13 | 5, 4, 3, 403, 247 |
5, 4, 3, 31, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 13 x 5 x 4 x 3 x 31 x 19 = 424504080
Therefore, the lowest common multiple of 660,336,693,806,247 is 424504080.
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.
660 x 336 x 693 x 806 x 247 = 30594858053760
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
806 : 1, 2, 13, 26, 31, 62, 403, 806
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,336,693,806,247, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
336:2x 2x 2x 2x 3x 7
693:3x 3x 7x 11
806:2x 13x 31
247:13x 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 7x 11x 13 = 72072
Therefore, the value for common factors is 72072.
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 = 30594858053760/(1x72072)
LCM = 30594858053760/72072
LCM = 424504080
Thus, we can understand that the LCM of 660,336,693,806,247 is 424504080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 660, 336, 693, 806, 247?
Answer: LCM of 660, 336, 693, 806, 247 is 424504080.
2. How to calculate the LCM of 660, 336, 693, 806, 247?
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 660, 336, 693, 806, 247.
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}.