LCM of 793, 208, 163, 144, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 208, 163, 144, 302 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 793, 208, 163, 144, 302. So, keep reading to learn more.
Given numbers are 793,208,163,144,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,208,163,144,302 is 2810607696.
Find LCM of 793,208,163,144,302 with Prime Factorization
| 2 | 793, 208, 163, 144, 302 |
| 2 | 793, 104, 163, 72, 151 |
| 2 | 793, 52, 163, 36, 151 |
| 2 | 793, 26, 163, 18, 151 |
| 13 | 793, 13, 163, 9, 151 |
| 61, 1, 163, 9, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 61 x 1 x 163 x 9 x 151 = 2810607696
Therefore, the lowest common multiple of 793,208,163,144,302 is 2810607696.
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.
793 x 208 x 163 x 144 x 302 = 1169212801536
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.
793 : 1, 13, 61, 793
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
163 : 1, 163
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,208,163,144,302, is 1.
Now, the common factors can be found like this.
793:13x 61
208:2x 2x 2x 2x 13
163:163
144:2x 2x 2x 2x 3x 3
302:2x 151
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 = 1169212801536/(1x416)
LCM = 1169212801536/416
LCM = 2810607696
Thus, we can understand that the LCM of 793,208,163,144,302 is 2810607696.
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FAQs on LCM of 793, 208, 163, 144, 302
1. What is the LCM of 793, 208, 163, 144, 302?
Answer: LCM of 793, 208, 163, 144, 302 is 2810607696.
2. How to calculate the LCM of 793, 208, 163, 144, 302?
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 793, 208, 163, 144, 302.
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}.