LCM of 605, 790, 418, 210, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 790, 418, 210, 820 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 605, 790, 418, 210, 820. So, keep reading to learn more.
Given numbers are 605,790,418,210,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,790,418,210,820 is 3127513620.
Find LCM of 605,790,418,210,820 with Prime Factorization
| 2 | 605, 790, 418, 210, 820 |
| 5 | 605, 395, 209, 105, 410 |
| 11 | 121, 79, 209, 21, 82 |
| 11, 79, 19, 21, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 11 x 79 x 19 x 21 x 82 = 3127513620
Therefore, the lowest common multiple of 605,790,418,210,820 is 3127513620.
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.
605 x 790 x 418 x 210 x 820 = 34402649820000
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.
605 : 1, 5, 11, 55, 121, 605
790 : 1, 2, 5, 10, 79, 158, 395, 790
418 : 1, 2, 11, 19, 22, 38, 209, 418
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,790,418,210,820, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
790:2x 5x 79
418:2x 11x 19
210:2x 3x 5x 7
820:2x 2x 5x 41
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 5x 5x 5x 11 = 11000
Therefore, the value for common factors is 11000.
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 = 34402649820000/(1x11000)
LCM = 34402649820000/11000
LCM = 3127513620
Thus, we can understand that the LCM of 605,790,418,210,820 is 3127513620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 790, 418, 210, 820
1. What is the LCM of 605, 790, 418, 210, 820?
Answer: LCM of 605, 790, 418, 210, 820 is 3127513620.
2. How to calculate the LCM of 605, 790, 418, 210, 820?
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 605, 790, 418, 210, 820.
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}.