LCM of 601, 279, 294, 180, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 601, 279, 294, 180, 462 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 601, 279, 294, 180, 462. So, keep reading to learn more.
Given numbers are 601,279,294,180,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 601,279,294,180,462 is 1807579620.
Find LCM of 601,279,294,180,462 with Prime Factorization
| 2 | 601, 279, 294, 180, 462 |
| 3 | 601, 279, 147, 90, 231 |
| 3 | 601, 93, 49, 30, 77 |
| 7 | 601, 31, 49, 10, 77 |
| 601, 31, 7, 10, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 601 x 31 x 7 x 10 x 11 = 1807579620
Therefore, the lowest common multiple of 601,279,294,180,462 is 1807579620.
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.
601 x 279 x 294 x 180 x 462 = 4099590578160
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.
601 : 1, 601
279 : 1, 3, 9, 31, 93, 279
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,279,294,180,462, is 1.
Now, the common factors can be found like this.
601:601
279:3x 3x 31
294:2x 3x 7x 7
180:2x 2x 3x 3x 5
462:2x 3x 7x 11
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 3x 3x 3x 3x 7 = 2268
Therefore, the value for common factors is 2268.
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 = 4099590578160/(1x2268)
LCM = 4099590578160/2268
LCM = 1807579620
Thus, we can understand that the LCM of 601,279,294,180,462 is 1807579620.
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FAQs on LCM of 601, 279, 294, 180, 462
1. What is the LCM of 601, 279, 294, 180, 462?
Answer: LCM of 601, 279, 294, 180, 462 is 1807579620.
2. How to calculate the LCM of 601, 279, 294, 180, 462?
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 601, 279, 294, 180, 462.
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}.