LCM of 914, 143, 936, 184, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 143, 936, 184, 207 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 914, 143, 936, 184, 207. So, keep reading to learn more.
Given numbers are 914,143,936,184,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,143,936,184,207 is 108221256.
Find LCM of 914,143,936,184,207 with Prime Factorization
| 2 | 914, 143, 936, 184, 207 |
| 2 | 457, 143, 468, 92, 207 |
| 2 | 457, 143, 234, 46, 207 |
| 3 | 457, 143, 117, 23, 207 |
| 3 | 457, 143, 39, 23, 69 |
| 13 | 457, 143, 13, 23, 23 |
| 23 | 457, 11, 1, 23, 23 |
| 457, 11, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 23 x 457 x 11 x 1 x 1 x 1 = 108221256
Therefore, the lowest common multiple of 914,143,936,184,207 is 108221256.
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.
914 x 143 x 936 x 184 x 207 = 4659574398336
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.
914 : 1, 2, 457, 914
143 : 1, 11, 13, 143
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
184 : 1, 2, 4, 8, 23, 46, 92, 184
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,143,936,184,207, is 1.
Now, the common factors can be found like this.
914:2x 457
143:11x 13
936:2x 2x 2x 3x 3x 13
184:2x 2x 2x 23
207:3x 3x 23
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 3x 3x 13x 23 = 43056
Therefore, the value for common factors is 43056.
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 = 4659574398336/(1x43056)
LCM = 4659574398336/43056
LCM = 108221256
Thus, we can understand that the LCM of 914,143,936,184,207 is 108221256.
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FAQs on LCM of 914, 143, 936, 184, 207
1. What is the LCM of 914, 143, 936, 184, 207?
Answer: LCM of 914, 143, 936, 184, 207 is 108221256.
2. How to calculate the LCM of 914, 143, 936, 184, 207?
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 914, 143, 936, 184, 207.
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}.