Find the LCM of 256, 300, 817, 745, 646 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 256, 300, 817, 745, 646. So, keep reading to learn more.
Given numbers are 256,300,817,745,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,300,817,745,646 is 39733651200.
Find LCM of 256,300,817,745,646 with Prime Factorization
2 | 256, 300, 817, 745, 646 |
2 | 128, 150, 817, 745, 323 |
5 | 64, 75, 817, 745, 323 |
19 | 64, 15, 817, 149, 323 |
64, 15, 43, 149, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 64 x 15 x 43 x 149 x 17 = 39733651200
Therefore, the lowest common multiple of 256,300,817,745,646 is 39733651200.
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.
256 x 300 x 817 x 745 x 646 = 30197574912000
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
817 : 1, 19, 43, 817
745 : 1, 5, 149, 745
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,300,817,745,646, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
300:2x 2x 3x 5x 5
817:19x 43
745:5x 149
646:2x 17x 19
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 5x 19 = 760
Therefore, the value for common factors is 760.
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 = 30197574912000/(1x760)
LCM = 30197574912000/760
LCM = 39733651200
Thus, we can understand that the LCM of 256,300,817,745,646 is 39733651200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 256, 300, 817, 745, 646?
Answer: LCM of 256, 300, 817, 745, 646 is 39733651200.
2. How to calculate the LCM of 256, 300, 817, 745, 646?
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 256, 300, 817, 745, 646.
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}.