Find the LCM of 598, 614, 399, 437, 893 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 598, 614, 399, 437, 893. So, keep reading to learn more.
Given numbers are 598,614,399,437,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,614,399,437,893 is 3442788258.
Find LCM of 598,614,399,437,893 with Prime Factorization
2 | 598, 614, 399, 437, 893 |
19 | 299, 307, 399, 437, 893 |
23 | 299, 307, 21, 23, 47 |
13, 307, 21, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 13 x 307 x 21 x 1 x 47 = 3442788258
Therefore, the lowest common multiple of 598,614,399,437,893 is 3442788258.
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.
598 x 614 x 399 x 437 x 893 = 57170941812348
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
614 : 1, 2, 307, 614
399 : 1, 3, 7, 19, 21, 57, 133, 399
437 : 1, 19, 23, 437
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,614,399,437,893, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
614:2x 307
399:3x 7x 19
437:19x 23
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 19x 23 = 16606
Therefore, the value for common factors is 16606.
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 = 57170941812348/(1x16606)
LCM = 57170941812348/16606
LCM = 3442788258
Thus, we can understand that the LCM of 598,614,399,437,893 is 3442788258.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 614, 399, 437, 893?
Answer: LCM of 598, 614, 399, 437, 893 is 3442788258.
2. How to calculate the LCM of 598, 614, 399, 437, 893?
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 598, 614, 399, 437, 893.
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}.