LCM of 405, 895, 777, 880, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 895, 777, 880, 532 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 405, 895, 777, 880, 532. So, keep reading to learn more.
Given numbers are 405,895,777,880,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,895,777,880,532 is 62787629520.
Find LCM of 405,895,777,880,532 with Prime Factorization
| 2 | 405, 895, 777, 880, 532 |
| 2 | 405, 895, 777, 440, 266 |
| 3 | 405, 895, 777, 220, 133 |
| 5 | 135, 895, 259, 220, 133 |
| 7 | 27, 179, 259, 44, 133 |
| 27, 179, 37, 44, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 27 x 179 x 37 x 44 x 19 = 62787629520
Therefore, the lowest common multiple of 405,895,777,880,532 is 62787629520.
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.
405 x 895 x 777 x 880 x 532 = 131854021992000
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
895 : 1, 5, 179, 895
777 : 1, 3, 7, 21, 37, 111, 259, 777
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,895,777,880,532, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
895:5x 179
777:3x 7x 37
880:2x 2x 2x 2x 5x 11
532:2x 2x 7x 19
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 3x 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 131854021992000/(1x2100)
LCM = 131854021992000/2100
LCM = 62787629520
Thus, we can understand that the LCM of 405,895,777,880,532 is 62787629520.
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FAQs on LCM of 405, 895, 777, 880, 532
1. What is the LCM of 405, 895, 777, 880, 532?
Answer: LCM of 405, 895, 777, 880, 532 is 62787629520.
2. How to calculate the LCM of 405, 895, 777, 880, 532?
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 405, 895, 777, 880, 532.
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}.