Find the LCM of 236, 748, 345, 330, 323 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 236, 748, 345, 330, 323. So, keep reading to learn more.
Given numbers are 236,748,345,330,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,748,345,330,323 is 289285260.
Find LCM of 236,748,345,330,323 with Prime Factorization
2 | 236, 748, 345, 330, 323 |
2 | 118, 374, 345, 165, 323 |
3 | 59, 187, 345, 165, 323 |
5 | 59, 187, 115, 55, 323 |
11 | 59, 187, 23, 11, 323 |
17 | 59, 17, 23, 1, 323 |
59, 1, 23, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 17 x 59 x 1 x 23 x 1 x 19 = 289285260
Therefore, the lowest common multiple of 236,748,345,330,323 is 289285260.
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.
236 x 748 x 345 x 330 x 323 = 6491561234400
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.
236 : 1, 2, 4, 59, 118, 236
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
345 : 1, 3, 5, 15, 23, 69, 115, 345
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,748,345,330,323, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
748:2x 2x 11x 17
345:3x 5x 23
330:2x 3x 5x 11
323:17x 19
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 5x 11x 17 = 22440
Therefore, the value for common factors is 22440.
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 = 6491561234400/(1x22440)
LCM = 6491561234400/22440
LCM = 289285260
Thus, we can understand that the LCM of 236,748,345,330,323 is 289285260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 748, 345, 330, 323?
Answer: LCM of 236, 748, 345, 330, 323 is 289285260.
2. How to calculate the LCM of 236, 748, 345, 330, 323?
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 236, 748, 345, 330, 323.
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}.