Find the LCM of 518, 823, 410, 666 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 518, 823, 410, 666. So, keep reading to learn more.
Given numbers are 518,823,410,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,823,410,666 is 786549330.
Find LCM of 518,823,410,666 with Prime Factorization
2 | 518, 823, 410, 666 |
37 | 259, 823, 205, 333 |
7, 823, 205, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 7 x 823 x 205 x 9 = 786549330
Therefore, the lowest common multiple of 518,823,410,666 is 786549330.
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.
518 x 823 x 410 x 666 = 116409300840
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
823 : 1, 823
410 : 1, 2, 5, 10, 41, 82, 205, 410
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,823,410,666, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
823:823
410:2x 5x 41
666:2x 3x 3x 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 37 = 148
Therefore, the value for common factors is 148.
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 = 116409300840/(1x148)
LCM = 116409300840/148
LCM = 786549330
Thus, we can understand that the LCM of 518,823,410,666 is 786549330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 518, 823, 410, 666?
Answer: LCM of 518, 823, 410, 666 is 786549330.
2. How to calculate the LCM of 518, 823, 410, 666?
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 518, 823, 410, 666.
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}.