LCM of 445, 803, 949, 580, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 803, 949, 580, 523 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 445, 803, 949, 580, 523. So, keep reading to learn more.
Given numbers are 445,803,949,580,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,803,949,580,523 is 281824397140.
Find LCM of 445,803,949,580,523 with Prime Factorization
| 5 | 445, 803, 949, 580, 523 |
| 73 | 89, 803, 949, 116, 523 |
| 89, 11, 13, 116, 523 |
Multiply the prime numbers at the bottom and the left side.
5 x 73 x 89 x 11 x 13 x 116 x 523 = 281824397140
Therefore, the lowest common multiple of 445,803,949,580,523 is 281824397140.
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.
445 x 803 x 949 x 580 x 523 = 102865904956100
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.
445 : 1, 5, 89, 445
803 : 1, 11, 73, 803
949 : 1, 13, 73, 949
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,803,949,580,523, is 1.
Now, the common factors can be found like this.
445:5x 89
803:11x 73
949:13x 73
580:2x 2x 5x 29
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 73 = 365
Therefore, the value for common factors is 365.
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 = 102865904956100/(1x365)
LCM = 102865904956100/365
LCM = 281824397140
Thus, we can understand that the LCM of 445,803,949,580,523 is 281824397140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 445, 803, 949, 580, 523
1. What is the LCM of 445, 803, 949, 580, 523?
Answer: LCM of 445, 803, 949, 580, 523 is 281824397140.
2. How to calculate the LCM of 445, 803, 949, 580, 523?
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 445, 803, 949, 580, 523.
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}.