Find the LCM of 388, 242, 493, 264, 291 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 388, 242, 493, 264, 291. So, keep reading to learn more.
Given numbers are 388,242,493,264,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,242,493,264,291 is 138872184.
Find LCM of 388,242,493,264,291 with Prime Factorization
2 | 388, 242, 493, 264, 291 |
2 | 194, 121, 493, 132, 291 |
3 | 97, 121, 493, 66, 291 |
11 | 97, 121, 493, 22, 97 |
97 | 97, 11, 493, 2, 97 |
1, 11, 493, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 97 x 1 x 11 x 493 x 2 x 1 = 138872184
Therefore, the lowest common multiple of 388,242,493,264,291 is 138872184.
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.
388 x 242 x 493 x 264 x 291 = 3556238887872
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.
388 : 1, 2, 4, 97, 194, 388
242 : 1, 2, 11, 22, 121, 242
493 : 1, 17, 29, 493
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
291 : 1, 3, 97, 291
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,242,493,264,291, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
242:2x 11x 11
493:17x 29
264:2x 2x 2x 3x 11
291:3x 97
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 11x 97 = 25608
Therefore, the value for common factors is 25608.
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 = 3556238887872/(1x25608)
LCM = 3556238887872/25608
LCM = 138872184
Thus, we can understand that the LCM of 388,242,493,264,291 is 138872184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 388, 242, 493, 264, 291?
Answer: LCM of 388, 242, 493, 264, 291 is 138872184.
2. How to calculate the LCM of 388, 242, 493, 264, 291?
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 388, 242, 493, 264, 291.
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}.