Find the LCM of 758, 368, 593, 224, 391 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 758, 368, 593, 224, 391. So, keep reading to learn more.
Given numbers are 758,368,593,224,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,368,593,224,391 is 19684241248.
Find LCM of 758,368,593,224,391 with Prime Factorization
2 | 758, 368, 593, 224, 391 |
2 | 379, 184, 593, 112, 391 |
2 | 379, 92, 593, 56, 391 |
2 | 379, 46, 593, 28, 391 |
23 | 379, 23, 593, 14, 391 |
379, 1, 593, 14, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 379 x 1 x 593 x 14 x 17 = 19684241248
Therefore, the lowest common multiple of 758,368,593,224,391 is 19684241248.
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.
758 x 368 x 593 x 224 x 391 = 14487601558528
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.
758 : 1, 2, 379, 758
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
593 : 1, 593
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,368,593,224,391, is 1.
Now, the common factors can be found like this.
758:2x 379
368:2x 2x 2x 2x 23
593:593
224:2x 2x 2x 2x 2x 7
391:17x 23
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 2x 2x 23 = 736
Therefore, the value for common factors is 736.
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 = 14487601558528/(1x736)
LCM = 14487601558528/736
LCM = 19684241248
Thus, we can understand that the LCM of 758,368,593,224,391 is 19684241248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 758, 368, 593, 224, 391?
Answer: LCM of 758, 368, 593, 224, 391 is 19684241248.
2. How to calculate the LCM of 758, 368, 593, 224, 391?
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 758, 368, 593, 224, 391.
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}.