LCM of 580, 209, 575, 264, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 209, 575, 264, 108 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 580, 209, 575, 264, 108. So, keep reading to learn more.
Given numbers are 580,209,575,264,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,209,575,264,108 is 752776200.
Find LCM of 580,209,575,264,108 with Prime Factorization
| 2 | 580, 209, 575, 264, 108 |
| 2 | 290, 209, 575, 132, 54 |
| 3 | 145, 209, 575, 66, 27 |
| 5 | 145, 209, 575, 22, 9 |
| 11 | 29, 209, 115, 22, 9 |
| 29, 19, 115, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 29 x 19 x 115 x 2 x 9 = 752776200
Therefore, the lowest common multiple of 580,209,575,264,108 is 752776200.
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.
580 x 209 x 575 x 264 x 108 = 1987329168000
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
209 : 1, 11, 19, 209
575 : 1, 5, 23, 25, 115, 575
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,209,575,264,108, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
209:11x 19
575:5x 5x 23
264:2x 2x 2x 3x 11
108:2x 2x 3x 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 2x 3x 5x 11 = 2640
Therefore, the value for common factors is 2640.
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 = 1987329168000/(1x2640)
LCM = 1987329168000/2640
LCM = 752776200
Thus, we can understand that the LCM of 580,209,575,264,108 is 752776200.
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FAQs on LCM of 580, 209, 575, 264, 108
1. What is the LCM of 580, 209, 575, 264, 108?
Answer: LCM of 580, 209, 575, 264, 108 is 752776200.
2. How to calculate the LCM of 580, 209, 575, 264, 108?
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 580, 209, 575, 264, 108.
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}.