LCM of 460, 533, 720, 801, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 533, 720, 801, 936 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 460, 533, 720, 801, 936. So, keep reading to learn more.
Given numbers are 460,533,720,801,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,533,720,801,936 is 785556720.
Find LCM of 460,533,720,801,936 with Prime Factorization
| 2 | 460, 533, 720, 801, 936 |
| 2 | 230, 533, 360, 801, 468 |
| 2 | 115, 533, 180, 801, 234 |
| 3 | 115, 533, 90, 801, 117 |
| 3 | 115, 533, 30, 267, 39 |
| 5 | 115, 533, 10, 89, 13 |
| 13 | 23, 533, 2, 89, 13 |
| 23, 41, 2, 89, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 13 x 23 x 41 x 2 x 89 x 1 = 785556720
Therefore, the lowest common multiple of 460,533,720,801,936 is 785556720.
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.
460 x 533 x 720 x 801 x 936 = 132350596185600
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
533 : 1, 13, 41, 533
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
801 : 1, 3, 9, 89, 267, 801
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,533,720,801,936, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
533:13x 41
720:2x 2x 2x 2x 3x 3x 5
801:3x 3x 89
936:2x 2x 2x 3x 3x 13
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 13 = 168480
Therefore, the value for common factors is 168480.
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 = 132350596185600/(1x168480)
LCM = 132350596185600/168480
LCM = 785556720
Thus, we can understand that the LCM of 460,533,720,801,936 is 785556720.
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FAQs on LCM of 460, 533, 720, 801, 936
1. What is the LCM of 460, 533, 720, 801, 936?
Answer: LCM of 460, 533, 720, 801, 936 is 785556720.
2. How to calculate the LCM of 460, 533, 720, 801, 936?
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 460, 533, 720, 801, 936.
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}.