LCM of 525, 407, 305, 840, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 407, 305, 840, 288 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 525, 407, 305, 840, 288. So, keep reading to learn more.
Given numbers are 525,407,305,840,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,407,305,840,288 is 1251280800.
Find LCM of 525,407,305,840,288 with Prime Factorization
| 2 | 525, 407, 305, 840, 288 |
| 2 | 525, 407, 305, 420, 144 |
| 2 | 525, 407, 305, 210, 72 |
| 3 | 525, 407, 305, 105, 36 |
| 5 | 175, 407, 305, 35, 12 |
| 7 | 7, 407, 61, 35, 12 |
| 1, 407, 61, 5, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 1 x 407 x 61 x 5 x 12 = 1251280800
Therefore, the lowest common multiple of 525,407,305,840,288 is 1251280800.
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.
525 x 407 x 305 x 840 x 288 = 15766138080000
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
407 : 1, 11, 37, 407
305 : 1, 5, 61, 305
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,407,305,840,288, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
407:11x 37
305:5x 61
840:2x 2x 2x 3x 5x 7
288:2x 2x 2x 2x 2x 3x 3
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 5x 5x 7 = 12600
Therefore, the value for common factors is 12600.
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 = 15766138080000/(1x12600)
LCM = 15766138080000/12600
LCM = 1251280800
Thus, we can understand that the LCM of 525,407,305,840,288 is 1251280800.
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FAQs on LCM of 525, 407, 305, 840, 288
1. What is the LCM of 525, 407, 305, 840, 288?
Answer: LCM of 525, 407, 305, 840, 288 is 1251280800.
2. How to calculate the LCM of 525, 407, 305, 840, 288?
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 525, 407, 305, 840, 288.
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}.