Find the LCM of 328, 327, 545, 697 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 328, 327, 545, 697. So, keep reading to learn more.
Given numbers are 328,327,545,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,327,545,697 is 9116760.
Find LCM of 328,327,545,697 with Prime Factorization
41 | 328, 327, 545, 697 |
109 | 8, 327, 545, 17 |
8, 3, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
41 x 109 x 8 x 3 x 5 x 17 = 9116760
Therefore, the lowest common multiple of 328,327,545,697 is 9116760.
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.
328 x 327 x 545 x 697 = 40742800440
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
327 : 1, 3, 109, 327
545 : 1, 5, 109, 545
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,327,545,697, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
327:3x 109
545:5x 109
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41x 109 = 4469
Therefore, the value for common factors is 4469.
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 = 40742800440/(1x4469)
LCM = 40742800440/4469
LCM = 9116760
Thus, we can understand that the LCM of 328,327,545,697 is 9116760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 327, 545, 697?
Answer: LCM of 328, 327, 545, 697 is 9116760.
2. How to calculate the LCM of 328, 327, 545, 697?
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 328, 327, 545, 697.
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}.