LCM of 328, 459, 107, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 459, 107, 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, 459, 107, 697. So, keep reading to learn more.
Given numbers are 328,459,107,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,459,107,697 is 16109064.
Find LCM of 328,459,107,697 with Prime Factorization
| 17 | 328, 459, 107, 697 |
| 41 | 328, 27, 107, 41 |
| 8, 27, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 41 x 8 x 27 x 107 x 1 = 16109064
Therefore, the lowest common multiple of 328,459,107,697 is 16109064.
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 459 x 107 x 697 = 11228017608
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
459 : 1, 3, 9, 17, 27, 51, 153, 459
107 : 1, 107
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,459,107,697, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
459:3x 3x 3x 17
107:107
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.
17x 41 = 697
Therefore, the value for common factors is 697.
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 = 11228017608/(1x697)
LCM = 11228017608/697
LCM = 16109064
Thus, we can understand that the LCM of 328,459,107,697 is 16109064.
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FAQs on LCM of 328, 459, 107, 697
1. What is the LCM of 328, 459, 107, 697?
Answer: LCM of 328, 459, 107, 697 is 16109064.
2. How to calculate the LCM of 328, 459, 107, 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, 459, 107, 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}.