LCM of 861, 974, 180, 487, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 974, 180, 487, 913 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 861, 974, 180, 487, 913. So, keep reading to learn more.
Given numbers are 861,974,180,487,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,974,180,487,913 is 22969637460.
Find LCM of 861,974,180,487,913 with Prime Factorization
| 2 | 861, 974, 180, 487, 913 |
| 3 | 861, 487, 90, 487, 913 |
| 487 | 287, 487, 30, 487, 913 |
| 287, 1, 30, 1, 913 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 487 x 287 x 1 x 30 x 1 x 913 = 22969637460
Therefore, the lowest common multiple of 861,974,180,487,913 is 22969637460.
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.
861 x 974 x 180 x 487 x 913 = 67117280658120
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
974 : 1, 2, 487, 974
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
487 : 1, 487
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,974,180,487,913, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
974:2x 487
180:2x 2x 3x 3x 5
487:487
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 487 = 2922
Therefore, the value for common factors is 2922.
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 = 67117280658120/(1x2922)
LCM = 67117280658120/2922
LCM = 22969637460
Thus, we can understand that the LCM of 861,974,180,487,913 is 22969637460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 861, 974, 180, 487, 913
1. What is the LCM of 861, 974, 180, 487, 913?
Answer: LCM of 861, 974, 180, 487, 913 is 22969637460.
2. How to calculate the LCM of 861, 974, 180, 487, 913?
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 861, 974, 180, 487, 913.
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}.