LCM of 855, 892, 728, 450, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 892, 728, 450, 400 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 855, 892, 728, 450, 400. So, keep reading to learn more.
Given numbers are 855,892,728,450,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,892,728,450,400 is 1388041200.
Find LCM of 855,892,728,450,400 with Prime Factorization
| 2 | 855, 892, 728, 450, 400 |
| 2 | 855, 446, 364, 225, 200 |
| 2 | 855, 223, 182, 225, 100 |
| 3 | 855, 223, 91, 225, 50 |
| 3 | 285, 223, 91, 75, 50 |
| 5 | 95, 223, 91, 25, 50 |
| 5 | 19, 223, 91, 5, 10 |
| 19, 223, 91, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 5 x 19 x 223 x 91 x 1 x 2 = 1388041200
Therefore, the lowest common multiple of 855,892,728,450,400 is 1388041200.
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.
855 x 892 x 728 x 450 x 400 = 99938966400000
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
892 : 1, 2, 4, 223, 446, 892
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,892,728,450,400, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
892:2x 2x 223
728:2x 2x 2x 7x 13
450:2x 3x 3x 5x 5
400:2x 2x 2x 2x 5x 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 2x 2x 2x 3x 3x 5x 5x 5 = 72000
Therefore, the value for common factors is 72000.
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 = 99938966400000/(1x72000)
LCM = 99938966400000/72000
LCM = 1388041200
Thus, we can understand that the LCM of 855,892,728,450,400 is 1388041200.
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FAQs on LCM of 855, 892, 728, 450, 400
1. What is the LCM of 855, 892, 728, 450, 400?
Answer: LCM of 855, 892, 728, 450, 400 is 1388041200.
2. How to calculate the LCM of 855, 892, 728, 450, 400?
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 855, 892, 728, 450, 400.
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}.