LCM of 534, 205, 956, 580, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 205, 956, 580, 435 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 534, 205, 956, 580, 435. So, keep reading to learn more.
Given numbers are 534,205,956,580,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,205,956,580,435 is 1517473140.
Find LCM of 534,205,956,580,435 with Prime Factorization
| 2 | 534, 205, 956, 580, 435 |
| 2 | 267, 205, 478, 290, 435 |
| 3 | 267, 205, 239, 145, 435 |
| 5 | 89, 205, 239, 145, 145 |
| 29 | 89, 41, 239, 29, 29 |
| 89, 41, 239, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 89 x 41 x 239 x 1 x 1 = 1517473140
Therefore, the lowest common multiple of 534,205,956,580,435 is 1517473140.
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.
534 x 205 x 956 x 580 x 435 = 26404032636000
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
205 : 1, 5, 41, 205
956 : 1, 2, 4, 239, 478, 956
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,205,956,580,435, is 1.
Now, the common factors can be found like this.
534:2x 3x 89
205:5x 41
956:2x 2x 239
580:2x 2x 5x 29
435:3x 5x 29
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 5x 5x 29 = 17400
Therefore, the value for common factors is 17400.
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 = 26404032636000/(1x17400)
LCM = 26404032636000/17400
LCM = 1517473140
Thus, we can understand that the LCM of 534,205,956,580,435 is 1517473140.
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FAQs on LCM of 534, 205, 956, 580, 435
1. What is the LCM of 534, 205, 956, 580, 435?
Answer: LCM of 534, 205, 956, 580, 435 is 1517473140.
2. How to calculate the LCM of 534, 205, 956, 580, 435?
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 534, 205, 956, 580, 435.
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}.