LCM of 490, 286, 884, 638, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 286, 884, 638, 462 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 490, 286, 884, 638, 462. So, keep reading to learn more.
Given numbers are 490,286,884,638,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,286,884,638,462 is 207267060.
Find LCM of 490,286,884,638,462 with Prime Factorization
| 2 | 490, 286, 884, 638, 462 |
| 7 | 245, 143, 442, 319, 231 |
| 11 | 35, 143, 442, 319, 33 |
| 13 | 35, 13, 442, 29, 3 |
| 35, 1, 34, 29, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 13 x 35 x 1 x 34 x 29 x 3 = 207267060
Therefore, the lowest common multiple of 490,286,884,638,462 is 207267060.
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.
490 x 286 x 884 x 638 x 462 = 36515481562560
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
286 : 1, 2, 11, 13, 22, 26, 143, 286
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
638 : 1, 2, 11, 22, 29, 58, 319, 638
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,286,884,638,462, is 2.
Now, the common factors can be found like this.
490:2x 5x 7x 7
286:2x 11x 13
884:2x 2x 13x 17
638:2x 11x 29
462:2x 3x 7x 11
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 7x 11x 11x 13 = 88088
Therefore, the value for common factors is 88088.
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 = 36515481562560/(2x88088)
LCM = 36515481562560/176176
LCM = 207267060
Thus, we can understand that the LCM of 490,286,884,638,462 is 207267060.
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FAQs on LCM of 490, 286, 884, 638, 462
1. What is the LCM of 490, 286, 884, 638, 462?
Answer: LCM of 490, 286, 884, 638, 462 is 207267060.
2. How to calculate the LCM of 490, 286, 884, 638, 462?
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 490, 286, 884, 638, 462.
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}.