LCM of 288, 759, 730, 204, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 759, 730, 204, 792 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 288, 759, 730, 204, 792. So, keep reading to learn more.
Given numbers are 288,759,730,204,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,759,730,204,792 is 452121120.
Find LCM of 288,759,730,204,792 with Prime Factorization
| 2 | 288, 759, 730, 204, 792 |
| 2 | 144, 759, 365, 102, 396 |
| 2 | 72, 759, 365, 51, 198 |
| 3 | 36, 759, 365, 51, 99 |
| 3 | 12, 253, 365, 17, 33 |
| 11 | 4, 253, 365, 17, 11 |
| 4, 23, 365, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 4 x 23 x 365 x 17 x 1 = 452121120
Therefore, the lowest common multiple of 288,759,730,204,792 is 452121120.
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.
288 x 759 x 730 x 204 x 792 = 25781754746880
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
759 : 1, 3, 11, 23, 33, 69, 253, 759
730 : 1, 2, 5, 10, 73, 146, 365, 730
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,759,730,204,792, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
759:3x 11x 23
730:2x 5x 73
204:2x 2x 3x 17
792:2x 2x 2x 3x 3x 11
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 2x 2x 3x 3x 3x 3x 11 = 57024
Therefore, the value for common factors is 57024.
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 = 25781754746880/(1x57024)
LCM = 25781754746880/57024
LCM = 452121120
Thus, we can understand that the LCM of 288,759,730,204,792 is 452121120.
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FAQs on LCM of 288, 759, 730, 204, 792
1. What is the LCM of 288, 759, 730, 204, 792?
Answer: LCM of 288, 759, 730, 204, 792 is 452121120.
2. How to calculate the LCM of 288, 759, 730, 204, 792?
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 288, 759, 730, 204, 792.
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}.