Find the LCM of 671, 598, 871, 267, 328 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 671, 598, 871, 267, 328. So, keep reading to learn more.
Given numbers are 671,598,871,267,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,598,871,267,328 is 1177209115368.
Find LCM of 671,598,871,267,328 with Prime Factorization
2 | 671, 598, 871, 267, 328 |
13 | 671, 299, 871, 267, 164 |
671, 23, 67, 267, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 671 x 23 x 67 x 267 x 164 = 1177209115368
Therefore, the lowest common multiple of 671,598,871,267,328 is 1177209115368.
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.
671 x 598 x 871 x 267 x 328 = 30607436999568
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.
671 : 1, 11, 61, 671
598 : 1, 2, 13, 23, 26, 46, 299, 598
871 : 1, 13, 67, 871
267 : 1, 3, 89, 267
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,598,871,267,328, is 1.
Now, the common factors can be found like this.
671:11x 61
598:2x 13x 23
871:13x 67
267:3x 89
328:2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 30607436999568/(1x26)
LCM = 30607436999568/26
LCM = 1177209115368
Thus, we can understand that the LCM of 671,598,871,267,328 is 1177209115368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 598, 871, 267, 328?
Answer: LCM of 671, 598, 871, 267, 328 is 1177209115368.
2. How to calculate the LCM of 671, 598, 871, 267, 328?
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 671, 598, 871, 267, 328.
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}.