LCM of 866, 580, 153, 372, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 580, 153, 372, 947 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 866, 580, 153, 372, 947. So, keep reading to learn more.
Given numbers are 866,580,153,372,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,580,153,372,947 is 1128025697940.
Find LCM of 866,580,153,372,947 with Prime Factorization
| 2 | 866, 580, 153, 372, 947 |
| 2 | 433, 290, 153, 186, 947 |
| 3 | 433, 145, 153, 93, 947 |
| 433, 145, 51, 31, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 433 x 145 x 51 x 31 x 947 = 1128025697940
Therefore, the lowest common multiple of 866,580,153,372,947 is 1128025697940.
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.
866 x 580 x 153 x 372 x 947 = 27072616750560
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.
866 : 1, 2, 433, 866
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
153 : 1, 3, 9, 17, 51, 153
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,580,153,372,947, is 1.
Now, the common factors can be found like this.
866:2x 433
580:2x 2x 5x 29
153:3x 3x 17
372:2x 2x 3x 31
947:947
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 27072616750560/(1x24)
LCM = 27072616750560/24
LCM = 1128025697940
Thus, we can understand that the LCM of 866,580,153,372,947 is 1128025697940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 866, 580, 153, 372, 947
1. What is the LCM of 866, 580, 153, 372, 947?
Answer: LCM of 866, 580, 153, 372, 947 is 1128025697940.
2. How to calculate the LCM of 866, 580, 153, 372, 947?
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 866, 580, 153, 372, 947.
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}.