LCM of 400, 297, 292, 642, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 297, 292, 642, 405 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 400, 297, 292, 642, 405. So, keep reading to learn more.
Given numbers are 400,297,292,642,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,297,292,642,405 is 2783840400.
Find LCM of 400,297,292,642,405 with Prime Factorization
| 2 | 400, 297, 292, 642, 405 |
| 2 | 200, 297, 146, 321, 405 |
| 3 | 100, 297, 73, 321, 405 |
| 3 | 100, 99, 73, 107, 135 |
| 3 | 100, 33, 73, 107, 45 |
| 5 | 100, 11, 73, 107, 15 |
| 20, 11, 73, 107, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 20 x 11 x 73 x 107 x 3 = 2783840400
Therefore, the lowest common multiple of 400,297,292,642,405 is 2783840400.
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.
400 x 297 x 292 x 642 x 405 = 9019642896000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
297 : 1, 3, 9, 11, 27, 33, 99, 297
292 : 1, 2, 4, 73, 146, 292
642 : 1, 2, 3, 6, 107, 214, 321, 642
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,297,292,642,405, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
297:3x 3x 3x 11
292:2x 2x 73
642:2x 3x 107
405:3x 3x 3x 3x 5
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 3x 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 9019642896000/(1x3240)
LCM = 9019642896000/3240
LCM = 2783840400
Thus, we can understand that the LCM of 400,297,292,642,405 is 2783840400.
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FAQs on LCM of 400, 297, 292, 642, 405
1. What is the LCM of 400, 297, 292, 642, 405?
Answer: LCM of 400, 297, 292, 642, 405 is 2783840400.
2. How to calculate the LCM of 400, 297, 292, 642, 405?
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 400, 297, 292, 642, 405.
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}.