Find the LCM of 164, 537, 310, 723, 537 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 164, 537, 310, 723, 537. So, keep reading to learn more.
Given numbers are 164,537,310,723,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 164,537,310,723,537 is 3289780140.
Find LCM of 164,537,310,723,537 with Prime Factorization
2 | 164, 537, 310, 723, 537 |
3 | 82, 537, 155, 723, 537 |
179 | 82, 179, 155, 241, 179 |
82, 1, 155, 241, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 179 x 82 x 1 x 155 x 241 x 1 = 3289780140
Therefore, the lowest common multiple of 164,537,310,723,537 is 3289780140.
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.
164 x 537 x 310 x 723 x 537 = 10599671611080
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.
164 : 1, 2, 4, 41, 82, 164
537 : 1, 3, 179, 537
310 : 1, 2, 5, 10, 31, 62, 155, 310
723 : 1, 3, 241, 723
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,537,310,723,537, is 1.
Now, the common factors can be found like this.
164:2x 2x 41
537:3x 179
310:2x 5x 31
723:3x 241
537:3x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 179 = 3222
Therefore, the value for common factors is 3222.
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 = 10599671611080/(1x3222)
LCM = 10599671611080/3222
LCM = 3289780140
Thus, we can understand that the LCM of 164,537,310,723,537 is 3289780140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 164, 537, 310, 723, 537?
Answer: LCM of 164, 537, 310, 723, 537 is 3289780140.
2. How to calculate the LCM of 164, 537, 310, 723, 537?
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 164, 537, 310, 723, 537.
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}.