LCM of 510, 822, 545, 784, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 822, 545, 784, 414 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 510, 822, 545, 784, 414. So, keep reading to learn more.
Given numbers are 510,822,545,784,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,822,545,784,414 is 205992969840.
Find LCM of 510,822,545,784,414 with Prime Factorization
| 2 | 510, 822, 545, 784, 414 |
| 3 | 255, 411, 545, 392, 207 |
| 5 | 85, 137, 545, 392, 69 |
| 17, 137, 109, 392, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 137 x 109 x 392 x 69 = 205992969840
Therefore, the lowest common multiple of 510,822,545,784,414 is 205992969840.
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.
510 x 822 x 545 x 784 x 414 = 74157469142400
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
822 : 1, 2, 3, 6, 137, 274, 411, 822
545 : 1, 5, 109, 545
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,822,545,784,414, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
822:2x 3x 137
545:5x 109
784:2x 2x 2x 2x 7x 7
414:2x 3x 3x 23
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 5 = 360
Therefore, the value for common factors is 360.
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 = 74157469142400/(1x360)
LCM = 74157469142400/360
LCM = 205992969840
Thus, we can understand that the LCM of 510,822,545,784,414 is 205992969840.
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FAQs on LCM of 510, 822, 545, 784, 414
1. What is the LCM of 510, 822, 545, 784, 414?
Answer: LCM of 510, 822, 545, 784, 414 is 205992969840.
2. How to calculate the LCM of 510, 822, 545, 784, 414?
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 510, 822, 545, 784, 414.
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}.