LCM of 915, 368, 528, 215, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 915, 368, 528, 215, 545 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 915, 368, 528, 215, 545. So, keep reading to learn more.
Given numbers are 915,368,528,215,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 915,368,528,215,545 is 17360273040.
Find LCM of 915,368,528,215,545 with Prime Factorization
| 2 | 915, 368, 528, 215, 545 |
| 2 | 915, 184, 264, 215, 545 |
| 2 | 915, 92, 132, 215, 545 |
| 2 | 915, 46, 66, 215, 545 |
| 3 | 915, 23, 33, 215, 545 |
| 5 | 305, 23, 11, 215, 545 |
| 61, 23, 11, 43, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 61 x 23 x 11 x 43 x 109 = 17360273040
Therefore, the lowest common multiple of 915,368,528,215,545 is 17360273040.
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.
915 x 368 x 528 x 215 x 545 = 20832327648000
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.
915 : 1, 3, 5, 15, 61, 183, 305, 915
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
215 : 1, 5, 43, 215
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,368,528,215,545, is 1.
Now, the common factors can be found like this.
915:3x 5x 61
368:2x 2x 2x 2x 23
528:2x 2x 2x 2x 3x 11
215:5x 43
545:5x 109
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 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 20832327648000/(1x1200)
LCM = 20832327648000/1200
LCM = 17360273040
Thus, we can understand that the LCM of 915,368,528,215,545 is 17360273040.
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FAQs on LCM of 915, 368, 528, 215, 545
1. What is the LCM of 915, 368, 528, 215, 545?
Answer: LCM of 915, 368, 528, 215, 545 is 17360273040.
2. How to calculate the LCM of 915, 368, 528, 215, 545?
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 915, 368, 528, 215, 545.
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}.