LCM of 446, 207, 713, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 207, 713, 549 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 446, 207, 713, 549. So, keep reading to learn more.
Given numbers are 446,207,713,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,207,713,549 is 174580902.
Find LCM of 446,207,713,549 with Prime Factorization
| 3 | 446, 207, 713, 549 |
| 3 | 446, 69, 713, 183 |
| 23 | 446, 23, 713, 61 |
| 446, 1, 31, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 446 x 1 x 31 x 61 = 174580902
Therefore, the lowest common multiple of 446,207,713,549 is 174580902.
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.
446 x 207 x 713 x 549 = 36138246714
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.
446 : 1, 2, 223, 446
207 : 1, 3, 9, 23, 69, 207
713 : 1, 23, 31, 713
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,207,713,549, is 1.
Now, the common factors can be found like this.
446:2x 223
207:3x 3x 23
713:23x 31
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 36138246714/(1x207)
LCM = 36138246714/207
LCM = 174580902
Thus, we can understand that the LCM of 446,207,713,549 is 174580902.
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FAQs on LCM of 446, 207, 713, 549
1. What is the LCM of 446, 207, 713, 549?
Answer: LCM of 446, 207, 713, 549 is 174580902.
2. How to calculate the LCM of 446, 207, 713, 549?
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 446, 207, 713, 549.
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}.