LCM of 258, 493, 410, 870, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 493, 410, 870, 946 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 258, 493, 410, 870, 946. So, keep reading to learn more.
Given numbers are 258,493,410,870,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,493,410,870,946 is 286822470.
Find LCM of 258,493,410,870,946 with Prime Factorization
| 2 | 258, 493, 410, 870, 946 |
| 3 | 129, 493, 205, 435, 473 |
| 5 | 43, 493, 205, 145, 473 |
| 29 | 43, 493, 41, 29, 473 |
| 43 | 43, 17, 41, 1, 473 |
| 1, 17, 41, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 43 x 1 x 17 x 41 x 1 x 11 = 286822470
Therefore, the lowest common multiple of 258,493,410,870,946 is 286822470.
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.
258 x 493 x 410 x 870 x 946 = 42920114410800
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
493 : 1, 17, 29, 493
410 : 1, 2, 5, 10, 41, 82, 205, 410
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,493,410,870,946, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
493:17x 29
410:2x 5x 41
870:2x 3x 5x 29
946:2x 11x 43
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 5x 29x 43 = 149640
Therefore, the value for common factors is 149640.
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 = 42920114410800/(1x149640)
LCM = 42920114410800/149640
LCM = 286822470
Thus, we can understand that the LCM of 258,493,410,870,946 is 286822470.
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FAQs on LCM of 258, 493, 410, 870, 946
1. What is the LCM of 258, 493, 410, 870, 946?
Answer: LCM of 258, 493, 410, 870, 946 is 286822470.
2. How to calculate the LCM of 258, 493, 410, 870, 946?
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 258, 493, 410, 870, 946.
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}.