LCM of 400, 887, 671, 526, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 887, 671, 526, 915 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 400, 887, 671, 526, 915. So, keep reading to learn more.
Given numbers are 400,887,671,526,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,887,671,526,915 is 187837861200.
Find LCM of 400,887,671,526,915 with Prime Factorization
| 2 | 400, 887, 671, 526, 915 |
| 5 | 200, 887, 671, 263, 915 |
| 61 | 40, 887, 671, 263, 183 |
| 40, 887, 11, 263, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 61 x 40 x 887 x 11 x 263 x 3 = 187837861200
Therefore, the lowest common multiple of 400,887,671,526,915 is 187837861200.
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.
400 x 887 x 671 x 526 x 915 = 114581095332000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
887 : 1, 887
671 : 1, 11, 61, 671
526 : 1, 2, 263, 526
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,887,671,526,915, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
887:887
671:11x 61
526:2x 263
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 61 = 610
Therefore, the value for common factors is 610.
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 = 114581095332000/(1x610)
LCM = 114581095332000/610
LCM = 187837861200
Thus, we can understand that the LCM of 400,887,671,526,915 is 187837861200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 400, 887, 671, 526, 915
1. What is the LCM of 400, 887, 671, 526, 915?
Answer: LCM of 400, 887, 671, 526, 915 is 187837861200.
2. How to calculate the LCM of 400, 887, 671, 526, 915?
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 400, 887, 671, 526, 915.
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}.