LCM of 473, 725, 465, 899, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 725, 465, 899, 878 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 473, 725, 465, 899, 878. So, keep reading to learn more.
Given numbers are 473,725,465,899,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,725,465,899,878 is 28001197950.
Find LCM of 473,725,465,899,878 with Prime Factorization
| 5 | 473, 725, 465, 899, 878 |
| 29 | 473, 145, 93, 899, 878 |
| 31 | 473, 5, 93, 31, 878 |
| 473, 5, 3, 1, 878 |
Multiply the prime numbers at the bottom and the left side.
5 x 29 x 31 x 473 x 5 x 3 x 1 x 878 = 28001197950
Therefore, the lowest common multiple of 473,725,465,899,878 is 28001197950.
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.
473 x 725 x 465 x 899 x 878 = 125865384785250
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.
473 : 1, 11, 43, 473
725 : 1, 5, 25, 29, 145, 725
465 : 1, 3, 5, 15, 31, 93, 155, 465
899 : 1, 29, 31, 899
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,725,465,899,878, is 1.
Now, the common factors can be found like this.
473:11x 43
725:5x 5x 29
465:3x 5x 31
899:29x 31
878:2x 439
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 29x 31 = 4495
Therefore, the value for common factors is 4495.
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 = 125865384785250/(1x4495)
LCM = 125865384785250/4495
LCM = 28001197950
Thus, we can understand that the LCM of 473,725,465,899,878 is 28001197950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 473, 725, 465, 899, 878
1. What is the LCM of 473, 725, 465, 899, 878?
Answer: LCM of 473, 725, 465, 899, 878 is 28001197950.
2. How to calculate the LCM of 473, 725, 465, 899, 878?
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 473, 725, 465, 899, 878.
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}.