LCM of 464, 806, 902, 611, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 464, 806, 902, 611, 464 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 464, 806, 902, 611, 464. So, keep reading to learn more.
Given numbers are 464,806,902,611,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,806,902,611,464 is 3963669424.
Find LCM of 464,806,902,611,464 with Prime Factorization
| 2 | 464, 806, 902, 611, 464 |
| 2 | 232, 403, 451, 611, 232 |
| 2 | 116, 403, 451, 611, 116 |
| 2 | 58, 403, 451, 611, 58 |
| 13 | 29, 403, 451, 611, 29 |
| 29 | 29, 31, 451, 47, 29 |
| 1, 31, 451, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 29 x 1 x 31 x 451 x 47 x 1 = 3963669424
Therefore, the lowest common multiple of 464,806,902,611,464 is 3963669424.
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.
464 x 806 x 902 x 611 x 464 = 95635415862272
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
806 : 1, 2, 13, 26, 31, 62, 403, 806
902 : 1, 2, 11, 22, 41, 82, 451, 902
611 : 1, 13, 47, 611
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,806,902,611,464, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
806:2x 13x 31
902:2x 11x 41
611:13x 47
464:2x 2x 2x 2x 29
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 2x 2x 13x 29 = 24128
Therefore, the value for common factors is 24128.
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 = 95635415862272/(1x24128)
LCM = 95635415862272/24128
LCM = 3963669424
Thus, we can understand that the LCM of 464,806,902,611,464 is 3963669424.
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FAQs on LCM of 464, 806, 902, 611, 464
1. What is the LCM of 464, 806, 902, 611, 464?
Answer: LCM of 464, 806, 902, 611, 464 is 3963669424.
2. How to calculate the LCM of 464, 806, 902, 611, 464?
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 464, 806, 902, 611, 464.
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}.