LCM of 801, 445, 459, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 801, 445, 459, 861 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 801, 445, 459, 861. So, keep reading to learn more.
Given numbers are 801,445,459,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 801,445,459,861 is 58621185.
Find LCM of 801,445,459,861 with Prime Factorization
| 3 | 801, 445, 459, 861 |
| 3 | 267, 445, 153, 287 |
| 89 | 89, 445, 51, 287 |
| 1, 5, 51, 287 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 89 x 1 x 5 x 51 x 287 = 58621185
Therefore, the lowest common multiple of 801,445,459,861 is 58621185.
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.
801 x 445 x 459 x 861 = 140866707555
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.
801 : 1, 3, 9, 89, 267, 801
445 : 1, 5, 89, 445
459 : 1, 3, 9, 17, 27, 51, 153, 459
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,445,459,861, is 1.
Now, the common factors can be found like this.
801:3x 3x 89
445:5x 89
459:3x 3x 3x 17
861:3x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 89 = 2403
Therefore, the value for common factors is 2403.
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 = 140866707555/(1x2403)
LCM = 140866707555/2403
LCM = 58621185
Thus, we can understand that the LCM of 801,445,459,861 is 58621185.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 801, 445, 459, 861
1. What is the LCM of 801, 445, 459, 861?
Answer: LCM of 801, 445, 459, 861 is 58621185.
2. How to calculate the LCM of 801, 445, 459, 861?
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 801, 445, 459, 861.
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}.