LCM of 667, 187, 580, 665, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 187, 580, 665, 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 667, 187, 580, 665, 947. So, keep reading to learn more.
Given numbers are 667,187,580,665,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,187,580,665,947 is 314194845580.
Find LCM of 667,187,580,665,947 with Prime Factorization
| 5 | 667, 187, 580, 665, 947 |
| 29 | 667, 187, 116, 133, 947 |
| 23, 187, 4, 133, 947 |
Multiply the prime numbers at the bottom and the left side.
5 x 29 x 23 x 187 x 4 x 133 x 947 = 314194845580
Therefore, the lowest common multiple of 667,187,580,665,947 is 314194845580.
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.
667 x 187 x 580 x 665 x 947 = 45558252609100
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.
667 : 1, 23, 29, 667
187 : 1, 11, 17, 187
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
665 : 1, 5, 7, 19, 35, 95, 133, 665
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,187,580,665,947, is 1.
Now, the common factors can be found like this.
667:23x 29
187:11x 17
580:2x 2x 5x 29
665:5x 7x 19
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.
5x 29 = 145
Therefore, the value for common factors is 145.
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 = 45558252609100/(1x145)
LCM = 45558252609100/145
LCM = 314194845580
Thus, we can understand that the LCM of 667,187,580,665,947 is 314194845580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 187, 580, 665, 947
1. What is the LCM of 667, 187, 580, 665, 947?
Answer: LCM of 667, 187, 580, 665, 947 is 314194845580.
2. How to calculate the LCM of 667, 187, 580, 665, 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 667, 187, 580, 665, 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}.