LCM of 467, 464, 808, 920, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 464, 808, 920, 716 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 467, 464, 808, 920, 716. So, keep reading to learn more.
Given numbers are 467,464,808,920,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,464,808,920,716 is 450512770480.
Find LCM of 467,464,808,920,716 with Prime Factorization
| 2 | 467, 464, 808, 920, 716 |
| 2 | 467, 232, 404, 460, 358 |
| 2 | 467, 116, 202, 230, 179 |
| 467, 58, 101, 115, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 467 x 58 x 101 x 115 x 179 = 450512770480
Therefore, the lowest common multiple of 467,464,808,920,716 is 450512770480.
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.
467 x 464 x 808 x 920 x 716 = 115331269242880
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.
467 : 1, 467
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
808 : 1, 2, 4, 8, 101, 202, 404, 808
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
716 : 1, 2, 4, 179, 358, 716
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,464,808,920,716, is 1.
Now, the common factors can be found like this.
467:467
464:2x 2x 2x 2x 29
808:2x 2x 2x 101
920:2x 2x 2x 5x 23
716:2x 2x 179
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 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 115331269242880/(1x256)
LCM = 115331269242880/256
LCM = 450512770480
Thus, we can understand that the LCM of 467,464,808,920,716 is 450512770480.
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FAQs on LCM of 467, 464, 808, 920, 716
1. What is the LCM of 467, 464, 808, 920, 716?
Answer: LCM of 467, 464, 808, 920, 716 is 450512770480.
2. How to calculate the LCM of 467, 464, 808, 920, 716?
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 467, 464, 808, 920, 716.
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}.