LCM of 492, 206, 493, 927, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 206, 493, 927, 943 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 492, 206, 493, 927, 943. So, keep reading to learn more.
Given numbers are 492,206,493,927,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,206,493,927,943 is 1723845492.
Find LCM of 492,206,493,927,943 with Prime Factorization
| 2 | 492, 206, 493, 927, 943 |
| 3 | 246, 103, 493, 927, 943 |
| 41 | 82, 103, 493, 309, 943 |
| 103 | 2, 103, 493, 309, 23 |
| 2, 1, 493, 3, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 103 x 2 x 1 x 493 x 3 x 23 = 1723845492
Therefore, the lowest common multiple of 492,206,493,927,943 is 1723845492.
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.
492 x 206 x 493 x 927 x 943 = 43678797076296
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
206 : 1, 2, 103, 206
493 : 1, 17, 29, 493
927 : 1, 3, 9, 103, 309, 927
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,206,493,927,943, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
206:2x 103
493:17x 29
927:3x 3x 103
943:23x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 41x 103 = 25338
Therefore, the value for common factors is 25338.
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 = 43678797076296/(1x25338)
LCM = 43678797076296/25338
LCM = 1723845492
Thus, we can understand that the LCM of 492,206,493,927,943 is 1723845492.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 492, 206, 493, 927, 943
1. What is the LCM of 492, 206, 493, 927, 943?
Answer: LCM of 492, 206, 493, 927, 943 is 1723845492.
2. How to calculate the LCM of 492, 206, 493, 927, 943?
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 492, 206, 493, 927, 943.
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}.