LCM of 768, 908, 994, 652, 163
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 908, 994, 652, 163 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 768, 908, 994, 652, 163. So, keep reading to learn more.
Given numbers are 768,908,994,652,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,908,994,652,163 is 14123133696.
Find LCM of 768,908,994,652,163 with Prime Factorization
| 2 | 768, 908, 994, 652, 163 |
| 2 | 384, 454, 497, 326, 163 |
| 163 | 192, 227, 497, 163, 163 |
| 192, 227, 497, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 163 x 192 x 227 x 497 x 1 x 1 = 14123133696
Therefore, the lowest common multiple of 768,908,994,652,163 is 14123133696.
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.
768 x 908 x 994 x 652 x 163 = 73666265358336
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
908 : 1, 2, 4, 227, 454, 908
994 : 1, 2, 7, 14, 71, 142, 497, 994
652 : 1, 2, 4, 163, 326, 652
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,908,994,652,163, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
908:2x 2x 227
994:2x 7x 71
652:2x 2x 163
163:163
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 163 = 5216
Therefore, the value for common factors is 5216.
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 = 73666265358336/(1x5216)
LCM = 73666265358336/5216
LCM = 14123133696
Thus, we can understand that the LCM of 768,908,994,652,163 is 14123133696.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 768, 908, 994, 652, 163
1. What is the LCM of 768, 908, 994, 652, 163?
Answer: LCM of 768, 908, 994, 652, 163 is 14123133696.
2. How to calculate the LCM of 768, 908, 994, 652, 163?
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 768, 908, 994, 652, 163.
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}.