LCM of 468, 300, 845, 396, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 300, 845, 396, 726 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 468, 300, 845, 396, 726. So, keep reading to learn more.
Given numbers are 468,300,845,396,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,300,845,396,726 is 18404100.
Find LCM of 468,300,845,396,726 with Prime Factorization
| 2 | 468, 300, 845, 396, 726 |
| 2 | 234, 150, 845, 198, 363 |
| 3 | 117, 75, 845, 99, 363 |
| 3 | 39, 25, 845, 33, 121 |
| 5 | 13, 25, 845, 11, 121 |
| 11 | 13, 5, 169, 11, 121 |
| 13 | 13, 5, 169, 1, 11 |
| 1, 5, 13, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 13 x 1 x 5 x 13 x 1 x 11 = 18404100
Therefore, the lowest common multiple of 468,300,845,396,726 is 18404100.
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.
468 x 300 x 845 x 396 x 726 = 34107950448000
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
845 : 1, 5, 13, 65, 169, 845
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,300,845,396,726, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
300:2x 2x 3x 5x 5
845:5x 13x 13
396:2x 2x 3x 3x 11
726:2x 3x 11x 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 2x 2x 2x 3x 3x 3x 3x 5x 11x 13 = 1853280
Therefore, the value for common factors is 1853280.
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 = 34107950448000/(1x1853280)
LCM = 34107950448000/1853280
LCM = 18404100
Thus, we can understand that the LCM of 468,300,845,396,726 is 18404100.
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FAQs on LCM of 468, 300, 845, 396, 726
1. What is the LCM of 468, 300, 845, 396, 726?
Answer: LCM of 468, 300, 845, 396, 726 is 18404100.
2. How to calculate the LCM of 468, 300, 845, 396, 726?
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 468, 300, 845, 396, 726.
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}.