LCM of 357, 585, 902, 418, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 585, 902, 418, 459 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 357, 585, 902, 418, 459. So, keep reading to learn more.
Given numbers are 357,585,902,418,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,585,902,418,459 is 3579185610.
Find LCM of 357,585,902,418,459 with Prime Factorization
| 2 | 357, 585, 902, 418, 459 |
| 3 | 357, 585, 451, 209, 459 |
| 3 | 119, 195, 451, 209, 153 |
| 11 | 119, 65, 451, 209, 51 |
| 17 | 119, 65, 41, 19, 51 |
| 7, 65, 41, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 17 x 7 x 65 x 41 x 19 x 3 = 3579185610
Therefore, the lowest common multiple of 357,585,902,418,459 is 3579185610.
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.
357 x 585 x 902 x 418 x 459 = 36142616289780
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
902 : 1, 2, 11, 22, 41, 82, 451, 902
418 : 1, 2, 11, 19, 22, 38, 209, 418
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,585,902,418,459, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
585:3x 3x 5x 13
902:2x 11x 41
418:2x 11x 19
459:3x 3x 3x 17
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 3x 3x 11x 17 = 10098
Therefore, the value for common factors is 10098.
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 = 36142616289780/(1x10098)
LCM = 36142616289780/10098
LCM = 3579185610
Thus, we can understand that the LCM of 357,585,902,418,459 is 3579185610.
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FAQs on LCM of 357, 585, 902, 418, 459
1. What is the LCM of 357, 585, 902, 418, 459?
Answer: LCM of 357, 585, 902, 418, 459 is 3579185610.
2. How to calculate the LCM of 357, 585, 902, 418, 459?
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 357, 585, 902, 418, 459.
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}.