LCM of 115, 360, 564, 822, 366
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 360, 564, 822, 366 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 115, 360, 564, 822, 366. So, keep reading to learn more.
Given numbers are 115,360,564,822,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,360,564,822,366 is 3252210120.
Find LCM of 115,360,564,822,366 with Prime Factorization
| 2 | 115, 360, 564, 822, 366 |
| 2 | 115, 180, 282, 411, 183 |
| 3 | 115, 90, 141, 411, 183 |
| 5 | 115, 30, 47, 137, 61 |
| 23, 6, 47, 137, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 6 x 47 x 137 x 61 = 3252210120
Therefore, the lowest common multiple of 115,360,564,822,366 is 3252210120.
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.
115 x 360 x 564 x 822 x 366 = 7024773859200
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.
115 : 1, 5, 23, 115
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
822 : 1, 2, 3, 6, 137, 274, 411, 822
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,360,564,822,366, is 1.
Now, the common factors can be found like this.
115:5x 23
360:2x 2x 2x 3x 3x 5
564:2x 2x 3x 47
822:2x 3x 137
366:2x 3x 61
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 2x 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 7024773859200/(1x2160)
LCM = 7024773859200/2160
LCM = 3252210120
Thus, we can understand that the LCM of 115,360,564,822,366 is 3252210120.
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FAQs on LCM of 115, 360, 564, 822, 366
1. What is the LCM of 115, 360, 564, 822, 366?
Answer: LCM of 115, 360, 564, 822, 366 is 3252210120.
2. How to calculate the LCM of 115, 360, 564, 822, 366?
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 115, 360, 564, 822, 366.
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}.