LCM of 326, 910, 314, 416, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 910, 314, 416, 264 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 326, 910, 314, 416, 264. So, keep reading to learn more.
Given numbers are 326,910,314,416,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,910,314,416,264 is 12295963680.
Find LCM of 326,910,314,416,264 with Prime Factorization
| 2 | 326, 910, 314, 416, 264 |
| 2 | 163, 455, 157, 208, 132 |
| 2 | 163, 455, 157, 104, 66 |
| 13 | 163, 455, 157, 52, 33 |
| 163, 35, 157, 4, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 163 x 35 x 157 x 4 x 33 = 12295963680
Therefore, the lowest common multiple of 326,910,314,416,264 is 12295963680.
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.
326 x 910 x 314 x 416 x 264 = 10230241781760
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.
326 : 1, 2, 163, 326
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
314 : 1, 2, 157, 314
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,910,314,416,264, is 2.
Now, the common factors can be found like this.
326:2x 163
910:2x 5x 7x 13
314:2x 157
416:2x 2x 2x 2x 2x 13
264:2x 2x 2x 3x 11
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 13 = 416
Therefore, the value for common factors is 416.
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 = 10230241781760/(2x416)
LCM = 10230241781760/832
LCM = 12295963680
Thus, we can understand that the LCM of 326,910,314,416,264 is 12295963680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 326, 910, 314, 416, 264
1. What is the LCM of 326, 910, 314, 416, 264?
Answer: LCM of 326, 910, 314, 416, 264 is 12295963680.
2. How to calculate the LCM of 326, 910, 314, 416, 264?
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 326, 910, 314, 416, 264.
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}.