LCM of 485, 858, 930, 979, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 485, 858, 930, 979, 353 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 485, 858, 930, 979, 353. So, keep reading to learn more.
Given numbers are 485,858,930,979,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,858,930,979,353 is 405280242510.
Find LCM of 485,858,930,979,353 with Prime Factorization
| 2 | 485, 858, 930, 979, 353 |
| 3 | 485, 429, 465, 979, 353 |
| 5 | 485, 143, 155, 979, 353 |
| 11 | 97, 143, 31, 979, 353 |
| 97, 13, 31, 89, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 97 x 13 x 31 x 89 x 353 = 405280242510
Therefore, the lowest common multiple of 485,858,930,979,353 is 405280242510.
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.
485 x 858 x 930 x 979 x 353 = 133742480028300
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.
485 : 1, 5, 97, 485
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
979 : 1, 11, 89, 979
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,858,930,979,353, is 1.
Now, the common factors can be found like this.
485:5x 97
858:2x 3x 11x 13
930:2x 3x 5x 31
979:11x 89
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 133742480028300/(1x330)
LCM = 133742480028300/330
LCM = 405280242510
Thus, we can understand that the LCM of 485,858,930,979,353 is 405280242510.
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FAQs on LCM of 485, 858, 930, 979, 353
1. What is the LCM of 485, 858, 930, 979, 353?
Answer: LCM of 485, 858, 930, 979, 353 is 405280242510.
2. How to calculate the LCM of 485, 858, 930, 979, 353?
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 485, 858, 930, 979, 353.
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}.