Find the LCM of 585, 169, 951, 316, 326 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 585, 169, 951, 316, 326. So, keep reading to learn more.
Given numbers are 585,169,951,316,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,169,951,316,326 is 124174713780.
Find LCM of 585,169,951,316,326 with Prime Factorization
2 | 585, 169, 951, 316, 326 |
3 | 585, 169, 951, 158, 163 |
13 | 195, 169, 317, 158, 163 |
15, 13, 317, 158, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 15 x 13 x 317 x 158 x 163 = 124174713780
Therefore, the lowest common multiple of 585,169,951,316,326 is 124174713780.
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.
585 x 169 x 951 x 316 x 326 = 9685627674840
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
169 : 1, 13, 169
951 : 1, 3, 317, 951
316 : 1, 2, 4, 79, 158, 316
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,169,951,316,326, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
169:13x 13
951:3x 317
316:2x 2x 79
326:2x 163
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 13 = 78
Therefore, the value for common factors is 78.
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 = 9685627674840/(1x78)
LCM = 9685627674840/78
LCM = 124174713780
Thus, we can understand that the LCM of 585,169,951,316,326 is 124174713780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 585, 169, 951, 316, 326?
Answer: LCM of 585, 169, 951, 316, 326 is 124174713780.
2. How to calculate the LCM of 585, 169, 951, 316, 326?
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 585, 169, 951, 316, 326.
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}.