Find the LCM of 524, 618, 917, 162, 706 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 524, 618, 917, 162, 706. So, keep reading to learn more.
Given numbers are 524,618,917,162,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,618,917,162,706 is 10802549772.
Find LCM of 524,618,917,162,706 with Prime Factorization
2 | 524, 618, 917, 162, 706 |
3 | 262, 309, 917, 81, 353 |
131 | 262, 103, 917, 27, 353 |
2, 103, 7, 27, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 2 x 103 x 7 x 27 x 353 = 10802549772
Therefore, the lowest common multiple of 524,618,917,162,706 is 10802549772.
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.
524 x 618 x 917 x 162 x 706 = 33963216483168
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.
524 : 1, 2, 4, 131, 262, 524
618 : 1, 2, 3, 6, 103, 206, 309, 618
917 : 1, 7, 131, 917
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,618,917,162,706, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
618:2x 3x 103
917:7x 131
162:2x 3x 3x 3x 3
706:2x 353
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 3x 131 = 3144
Therefore, the value for common factors is 3144.
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 = 33963216483168/(1x3144)
LCM = 33963216483168/3144
LCM = 10802549772
Thus, we can understand that the LCM of 524,618,917,162,706 is 10802549772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 618, 917, 162, 706?
Answer: LCM of 524, 618, 917, 162, 706 is 10802549772.
2. How to calculate the LCM of 524, 618, 917, 162, 706?
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 524, 618, 917, 162, 706.
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}.