LCM of 808, 754, 616, 499, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 754, 616, 499, 592 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, 754, 616, 499, 592. So, keep reading to learn more.
Given numbers are 808,754,616,499,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,754,616,499,592 is 866115282032.
Find LCM of 808,754,616,499,592 with Prime Factorization
| 2 | 808, 754, 616, 499, 592 |
| 2 | 404, 377, 308, 499, 296 |
| 2 | 202, 377, 154, 499, 148 |
| 101, 377, 77, 499, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 377 x 77 x 499 x 74 = 866115282032
Therefore, the lowest common multiple of 808,754,616,499,592 is 866115282032.
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 754 x 616 x 499 x 592 = 110862756100096
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
499 : 1, 499
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,754,616,499,592, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
754:2x 13x 29
616:2x 2x 2x 7x 11
499:499
592:2x 2x 2x 2x 37
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 2 = 128
Therefore, the value for common factors is 128.
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 = 110862756100096/(1x128)
LCM = 110862756100096/128
LCM = 866115282032
Thus, we can understand that the LCM of 808,754,616,499,592 is 866115282032.
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FAQs on LCM of 808, 754, 616, 499, 592
1. What is the LCM of 808, 754, 616, 499, 592?
Answer: LCM of 808, 754, 616, 499, 592 is 866115282032.
2. How to calculate the LCM of 808, 754, 616, 499, 592?
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, 754, 616, 499, 592.
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}.