LCM of 404, 237, 408, 648, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 237, 408, 648, 153 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, 237, 408, 648, 153. So, keep reading to learn more.
Given numbers are 404,237,408,648,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,237,408,648,153 is 87896664.
Find LCM of 404,237,408,648,153 with Prime Factorization
| 2 | 404, 237, 408, 648, 153 |
| 2 | 202, 237, 204, 324, 153 |
| 2 | 101, 237, 102, 162, 153 |
| 3 | 101, 237, 51, 81, 153 |
| 3 | 101, 79, 17, 27, 51 |
| 17 | 101, 79, 17, 9, 17 |
| 101, 79, 1, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 17 x 101 x 79 x 1 x 9 x 1 = 87896664
Therefore, the lowest common multiple of 404,237,408,648,153 is 87896664.
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 237 x 408 x 648 x 153 = 3873078602496
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
237 : 1, 3, 79, 237
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,237,408,648,153, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
237:3x 79
408:2x 2x 2x 3x 17
648:2x 2x 2x 3x 3x 3x 3
153:3x 3x 17
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 2x 3x 3x 3x 3x 17 = 44064
Therefore, the value for common factors is 44064.
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 = 3873078602496/(1x44064)
LCM = 3873078602496/44064
LCM = 87896664
Thus, we can understand that the LCM of 404,237,408,648,153 is 87896664.
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FAQs on LCM of 404, 237, 408, 648, 153
1. What is the LCM of 404, 237, 408, 648, 153?
Answer: LCM of 404, 237, 408, 648, 153 is 87896664.
2. How to calculate the LCM of 404, 237, 408, 648, 153?
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, 237, 408, 648, 153.
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}.