LCM of 418, 286, 297, 884, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 286, 297, 884, 588 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 418, 286, 297, 884, 588. So, keep reading to learn more.
Given numbers are 418,286,297,884,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,286,297,884,588 is 244432188.
Find LCM of 418,286,297,884,588 with Prime Factorization
| 2 | 418, 286, 297, 884, 588 |
| 2 | 209, 143, 297, 442, 294 |
| 3 | 209, 143, 297, 221, 147 |
| 11 | 209, 143, 99, 221, 49 |
| 13 | 19, 13, 9, 221, 49 |
| 19, 1, 9, 17, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 19 x 1 x 9 x 17 x 49 = 244432188
Therefore, the lowest common multiple of 418,286,297,884,588 is 244432188.
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.
418 x 286 x 297 x 884 x 588 = 18455607922752
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
286 : 1, 2, 11, 13, 22, 26, 143, 286
297 : 1, 3, 9, 11, 27, 33, 99, 297
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,286,297,884,588, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
286:2x 11x 13
297:3x 3x 3x 11
884:2x 2x 13x 17
588:2x 2x 3x 7x 7
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 2x 3x 11x 11x 13 = 75504
Therefore, the value for common factors is 75504.
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 = 18455607922752/(1x75504)
LCM = 18455607922752/75504
LCM = 244432188
Thus, we can understand that the LCM of 418,286,297,884,588 is 244432188.
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FAQs on LCM of 418, 286, 297, 884, 588
1. What is the LCM of 418, 286, 297, 884, 588?
Answer: LCM of 418, 286, 297, 884, 588 is 244432188.
2. How to calculate the LCM of 418, 286, 297, 884, 588?
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 418, 286, 297, 884, 588.
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}.