LCM of 293, 540, 642, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 540, 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 293, 540, 642, 405. So, keep reading to learn more.
Given numbers are 293,540,642,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,540,642,405 is 50788620.
Find LCM of 293,540,642,405 with Prime Factorization
| 2 | 293, 540, 642, 405 |
| 3 | 293, 270, 321, 405 |
| 3 | 293, 90, 107, 135 |
| 3 | 293, 30, 107, 45 |
| 5 | 293, 10, 107, 15 |
| 293, 2, 107, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 293 x 2 x 107 x 3 = 50788620
Therefore, the lowest common multiple of 293,540,642,405 is 50788620.
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.
293 x 540 x 642 x 405 = 41138782200
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.
293 : 1, 293
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
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 293,540,642,405, is 1.
Now, the common factors can be found like this.
293:293
540:2x 2x 3x 3x 3x 5
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 3x 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 41138782200/(1x810)
LCM = 41138782200/810
LCM = 50788620
Thus, we can understand that the LCM of 293,540,642,405 is 50788620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 293, 540, 642, 405
1. What is the LCM of 293, 540, 642, 405?
Answer: LCM of 293, 540, 642, 405 is 50788620.
2. How to calculate the LCM of 293, 540, 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 293, 540, 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}.