LCM of 288, 507, 474, 828, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 507, 474, 828, 850 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, 507, 474, 828, 850. So, keep reading to learn more.
Given numbers are 288,507,474,828,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,507,474,828,850 is 37585735200.
Find LCM of 288,507,474,828,850 with Prime Factorization
| 2 | 288, 507, 474, 828, 850 |
| 2 | 144, 507, 237, 414, 425 |
| 3 | 72, 507, 237, 207, 425 |
| 3 | 24, 169, 79, 69, 425 |
| 8, 169, 79, 23, 425 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 8 x 169 x 79 x 23 x 425 = 37585735200
Therefore, the lowest common multiple of 288,507,474,828,850 is 37585735200.
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 507 x 474 x 828 x 850 = 48711112819200
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
507 : 1, 3, 13, 39, 169, 507
474 : 1, 2, 3, 6, 79, 158, 237, 474
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,507,474,828,850, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
507:3x 13x 13
474:2x 3x 79
828:2x 2x 3x 3x 23
850:2x 5x 5x 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 2x 2x 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 48711112819200/(1x1296)
LCM = 48711112819200/1296
LCM = 37585735200
Thus, we can understand that the LCM of 288,507,474,828,850 is 37585735200.
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FAQs on LCM of 288, 507, 474, 828, 850
1. What is the LCM of 288, 507, 474, 828, 850?
Answer: LCM of 288, 507, 474, 828, 850 is 37585735200.
2. How to calculate the LCM of 288, 507, 474, 828, 850?
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, 507, 474, 828, 850.
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}.