LCM of 808, 400, 858, 280, 534
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 400, 858, 280, 534 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 808, 400, 858, 280, 534. So, keep reading to learn more.
Given numbers are 808,400,858,280,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,400,858,280,534 is 10797586800.
Find LCM of 808,400,858,280,534 with Prime Factorization
| 2 | 808, 400, 858, 280, 534 |
| 2 | 404, 200, 429, 140, 267 |
| 2 | 202, 100, 429, 70, 267 |
| 3 | 101, 50, 429, 35, 267 |
| 5 | 101, 50, 143, 35, 89 |
| 101, 10, 143, 7, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 101 x 10 x 143 x 7 x 89 = 10797586800
Therefore, the lowest common multiple of 808,400,858,280,534 is 10797586800.
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.
808 x 400 x 858 x 280 x 534 = 41462733312000
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
534 : 1, 2, 3, 6, 89, 178, 267, 534
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,400,858,280,534, is 2.
Now, the common factors can be found like this.
808:2x 2x 2x 101
400:2x 2x 2x 2x 5x 5
858:2x 3x 11x 13
280:2x 2x 2x 5x 7
534:2x 3x 89
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 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 41462733312000/(2x1920)
LCM = 41462733312000/3840
LCM = 10797586800
Thus, we can understand that the LCM of 808,400,858,280,534 is 10797586800.
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FAQs on LCM of 808, 400, 858, 280, 534
1. What is the LCM of 808, 400, 858, 280, 534?
Answer: LCM of 808, 400, 858, 280, 534 is 10797586800.
2. How to calculate the LCM of 808, 400, 858, 280, 534?
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 808, 400, 858, 280, 534.
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}.