LCM of 357, 482, 462, 578, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 482, 462, 578, 494 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, 482, 462, 578, 494. So, keep reading to learn more.
Given numbers are 357,482,462,578,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,482,462,578,494 is 7947925986.
Find LCM of 357,482,462,578,494 with Prime Factorization
| 2 | 357, 482, 462, 578, 494 |
| 3 | 357, 241, 231, 289, 247 |
| 7 | 119, 241, 77, 289, 247 |
| 17 | 17, 241, 11, 289, 247 |
| 1, 241, 11, 17, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 1 x 241 x 11 x 17 x 247 = 7947925986
Therefore, the lowest common multiple of 357,482,462,578,494 is 7947925986.
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 482 x 462 x 578 x 494 = 22699276616016
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
482 : 1, 2, 241, 482
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
578 : 1, 2, 17, 34, 289, 578
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,482,462,578,494, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
482:2x 241
462:2x 3x 7x 11
578:2x 17x 17
494:2x 13x 19
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 7x 17 = 2856
Therefore, the value for common factors is 2856.
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 = 22699276616016/(1x2856)
LCM = 22699276616016/2856
LCM = 7947925986
Thus, we can understand that the LCM of 357,482,462,578,494 is 7947925986.
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FAQs on LCM of 357, 482, 462, 578, 494
1. What is the LCM of 357, 482, 462, 578, 494?
Answer: LCM of 357, 482, 462, 578, 494 is 7947925986.
2. How to calculate the LCM of 357, 482, 462, 578, 494?
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, 482, 462, 578, 494.
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}.