Find the LCM of 512, 824, 460, 515, 670 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 512, 824, 460, 515, 670. So, keep reading to learn more.
Given numbers are 512,824,460,515,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,824,460,515,670 is 406330880.
Find LCM of 512,824,460,515,670 with Prime Factorization
2 | 512, 824, 460, 515, 670 |
2 | 256, 412, 230, 515, 335 |
2 | 128, 206, 115, 515, 335 |
5 | 64, 103, 115, 515, 335 |
103 | 64, 103, 23, 103, 67 |
64, 1, 23, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 103 x 64 x 1 x 23 x 1 x 67 = 406330880
Therefore, the lowest common multiple of 512,824,460,515,670 is 406330880.
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.
512 x 824 x 460 x 515 x 670 = 66963329024000
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
824 : 1, 2, 4, 8, 103, 206, 412, 824
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
515 : 1, 5, 103, 515
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,824,460,515,670, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
824:2x 2x 2x 103
460:2x 2x 5x 23
515:5x 103
670:2x 5x 67
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 5x 5x 103 = 164800
Therefore, the value for common factors is 164800.
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 = 66963329024000/(1x164800)
LCM = 66963329024000/164800
LCM = 406330880
Thus, we can understand that the LCM of 512,824,460,515,670 is 406330880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 824, 460, 515, 670?
Answer: LCM of 512, 824, 460, 515, 670 is 406330880.
2. How to calculate the LCM of 512, 824, 460, 515, 670?
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 512, 824, 460, 515, 670.
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}.