LCM of 803, 696, 326, 704, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 696, 326, 704, 916 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 803, 696, 326, 704, 916. So, keep reading to learn more.
Given numbers are 803,696,326,704,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,696,326,704,916 is 166892899008.
Find LCM of 803,696,326,704,916 with Prime Factorization
| 2 | 803, 696, 326, 704, 916 |
| 2 | 803, 348, 163, 352, 458 |
| 2 | 803, 174, 163, 176, 229 |
| 11 | 803, 87, 163, 88, 229 |
| 73, 87, 163, 8, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 73 x 87 x 163 x 8 x 229 = 166892899008
Therefore, the lowest common multiple of 803,696,326,704,916 is 166892899008.
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.
803 x 696 x 326 x 704 x 916 = 117492600901632
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.
803 : 1, 11, 73, 803
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
326 : 1, 2, 163, 326
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,696,326,704,916, is 1.
Now, the common factors can be found like this.
803:11x 73
696:2x 2x 2x 3x 29
326:2x 163
704:2x 2x 2x 2x 2x 2x 11
916:2x 2x 229
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 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 117492600901632/(1x704)
LCM = 117492600901632/704
LCM = 166892899008
Thus, we can understand that the LCM of 803,696,326,704,916 is 166892899008.
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FAQs on LCM of 803, 696, 326, 704, 916
1. What is the LCM of 803, 696, 326, 704, 916?
Answer: LCM of 803, 696, 326, 704, 916 is 166892899008.
2. How to calculate the LCM of 803, 696, 326, 704, 916?
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 803, 696, 326, 704, 916.
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}.