LCM of 506, 188, 575, 588, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 188, 575, 588, 273 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 506, 188, 575, 588, 273. So, keep reading to learn more.
Given numbers are 506,188,575,588,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,188,575,588,273 is 2272370100.
Find LCM of 506,188,575,588,273 with Prime Factorization
| 2 | 506, 188, 575, 588, 273 |
| 2 | 253, 94, 575, 294, 273 |
| 3 | 253, 47, 575, 147, 273 |
| 7 | 253, 47, 575, 49, 91 |
| 23 | 253, 47, 575, 7, 13 |
| 11, 47, 25, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 11 x 47 x 25 x 7 x 13 = 2272370100
Therefore, the lowest common multiple of 506,188,575,588,273 is 2272370100.
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.
506 x 188 x 575 x 588 x 273 = 8780438066400
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
188 : 1, 2, 4, 47, 94, 188
575 : 1, 5, 23, 25, 115, 575
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,188,575,588,273, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
188:2x 2x 47
575:5x 5x 23
588:2x 2x 3x 7x 7
273:3x 7x 13
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 7x 23 = 3864
Therefore, the value for common factors is 3864.
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 = 8780438066400/(1x3864)
LCM = 8780438066400/3864
LCM = 2272370100
Thus, we can understand that the LCM of 506,188,575,588,273 is 2272370100.
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FAQs on LCM of 506, 188, 575, 588, 273
1. What is the LCM of 506, 188, 575, 588, 273?
Answer: LCM of 506, 188, 575, 588, 273 is 2272370100.
2. How to calculate the LCM of 506, 188, 575, 588, 273?
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 506, 188, 575, 588, 273.
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}.