Find the LCM of 808, 520, 335, 808, 128 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, 520, 335, 808, 128. So, keep reading to learn more.
Given numbers are 808,520,335,808,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,520,335,808,128 is 56301440.
Find LCM of 808,520,335,808,128 with Prime Factorization
2 | 808, 520, 335, 808, 128 |
2 | 404, 260, 335, 404, 64 |
2 | 202, 130, 335, 202, 32 |
5 | 101, 65, 335, 101, 16 |
101 | 101, 13, 67, 101, 16 |
1, 13, 67, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 101 x 1 x 13 x 67 x 1 x 16 = 56301440
Therefore, the lowest common multiple of 808,520,335,808,128 is 56301440.
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 520 x 335 x 808 x 128 = 14557300326400
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
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
335 : 1, 5, 67, 335
808 : 1, 2, 4, 8, 101, 202, 404, 808
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,520,335,808,128, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
520:2x 2x 2x 5x 13
335:5x 67
808:2x 2x 2x 101
128:2x 2x 2x 2x 2x 2x 2
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 2x 2x 5x 101 = 258560
Therefore, the value for common factors is 258560.
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 = 14557300326400/(1x258560)
LCM = 14557300326400/258560
LCM = 56301440
Thus, we can understand that the LCM of 808,520,335,808,128 is 56301440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 520, 335, 808, 128?
Answer: LCM of 808, 520, 335, 808, 128 is 56301440.
2. How to calculate the LCM of 808, 520, 335, 808, 128?
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, 520, 335, 808, 128.
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}.