LCM of 404, 564, 183, 297, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 564, 183, 297, 421 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 404, 564, 183, 297, 421. So, keep reading to learn more.
Given numbers are 404,564,183,297,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,564,183,297,421 is 144826355916.
Find LCM of 404,564,183,297,421 with Prime Factorization
| 2 | 404, 564, 183, 297, 421 |
| 2 | 202, 282, 183, 297, 421 |
| 3 | 101, 141, 183, 297, 421 |
| 101, 47, 61, 99, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 101 x 47 x 61 x 99 x 421 = 144826355916
Therefore, the lowest common multiple of 404,564,183,297,421 is 144826355916.
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.
404 x 564 x 183 x 297 x 421 = 5213748812976
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.
404 : 1, 2, 4, 101, 202, 404
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
183 : 1, 3, 61, 183
297 : 1, 3, 9, 11, 27, 33, 99, 297
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,564,183,297,421, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
564:2x 2x 3x 47
183:3x 61
297:3x 3x 3x 11
421:421
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 3 = 36
Therefore, the value for common factors is 36.
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 = 5213748812976/(1x36)
LCM = 5213748812976/36
LCM = 144826355916
Thus, we can understand that the LCM of 404,564,183,297,421 is 144826355916.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 404, 564, 183, 297, 421
1. What is the LCM of 404, 564, 183, 297, 421?
Answer: LCM of 404, 564, 183, 297, 421 is 144826355916.
2. How to calculate the LCM of 404, 564, 183, 297, 421?
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 404, 564, 183, 297, 421.
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}.