LCM of 717, 630, 448, 763, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 630, 448, 763, 289 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 717, 630, 448, 763, 289. So, keep reading to learn more.
Given numbers are 717,630,448,763,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,630,448,763,289 is 151779378240.
Find LCM of 717,630,448,763,289 with Prime Factorization
| 2 | 717, 630, 448, 763, 289 |
| 3 | 717, 315, 224, 763, 289 |
| 7 | 239, 105, 224, 763, 289 |
| 239, 15, 32, 109, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 239 x 15 x 32 x 109 x 289 = 151779378240
Therefore, the lowest common multiple of 717,630,448,763,289 is 151779378240.
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.
717 x 630 x 448 x 763 x 289 = 44623137202560
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.
717 : 1, 3, 239, 717
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
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
763 : 1, 7, 109, 763
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,630,448,763,289, is 1.
Now, the common factors can be found like this.
717:3x 239
630:2x 3x 3x 5x 7
448:2x 2x 2x 2x 2x 2x 7
763:7x 109
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 44623137202560/(1x294)
LCM = 44623137202560/294
LCM = 151779378240
Thus, we can understand that the LCM of 717,630,448,763,289 is 151779378240.
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FAQs on LCM of 717, 630, 448, 763, 289
1. What is the LCM of 717, 630, 448, 763, 289?
Answer: LCM of 717, 630, 448, 763, 289 is 151779378240.
2. How to calculate the LCM of 717, 630, 448, 763, 289?
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 717, 630, 448, 763, 289.
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}.