LCM of 456, 782, 810, 161, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 782, 810, 161, 989 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 456, 782, 810, 161, 989. So, keep reading to learn more.
Given numbers are 456,782,810,161,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,782,810,161,989 is 7245057960.
Find LCM of 456,782,810,161,989 with Prime Factorization
| 2 | 456, 782, 810, 161, 989 |
| 3 | 228, 391, 405, 161, 989 |
| 23 | 76, 391, 135, 161, 989 |
| 76, 17, 135, 7, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 76 x 17 x 135 x 7 x 43 = 7245057960
Therefore, the lowest common multiple of 456,782,810,161,989 is 7245057960.
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.
456 x 782 x 810 x 161 x 989 = 45991627930080
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
782 : 1, 2, 17, 23, 34, 46, 391, 782
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
161 : 1, 7, 23, 161
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,782,810,161,989, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
782:2x 17x 23
810:2x 3x 3x 3x 3x 5
161:7x 23
989:23x 43
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 23x 23 = 6348
Therefore, the value for common factors is 6348.
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 = 45991627930080/(1x6348)
LCM = 45991627930080/6348
LCM = 7245057960
Thus, we can understand that the LCM of 456,782,810,161,989 is 7245057960.
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FAQs on LCM of 456, 782, 810, 161, 989
1. What is the LCM of 456, 782, 810, 161, 989?
Answer: LCM of 456, 782, 810, 161, 989 is 7245057960.
2. How to calculate the LCM of 456, 782, 810, 161, 989?
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 456, 782, 810, 161, 989.
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}.