LCM of 671, 382, 305, 550, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 382, 305, 550, 732 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 671, 382, 305, 550, 732. So, keep reading to learn more.
Given numbers are 671,382,305,550,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,382,305,550,732 is 38448300.
Find LCM of 671,382,305,550,732 with Prime Factorization
| 2 | 671, 382, 305, 550, 732 |
| 5 | 671, 191, 305, 275, 366 |
| 11 | 671, 191, 61, 55, 366 |
| 61 | 61, 191, 61, 5, 366 |
| 1, 191, 1, 5, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 61 x 1 x 191 x 1 x 5 x 6 = 38448300
Therefore, the lowest common multiple of 671,382,305,550,732 is 38448300.
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.
671 x 382 x 305 x 550 x 732 = 31474547346000
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.
671 : 1, 11, 61, 671
382 : 1, 2, 191, 382
305 : 1, 5, 61, 305
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,382,305,550,732, is 1.
Now, the common factors can be found like this.
671:11x 61
382:2x 191
305:5x 61
550:2x 5x 5x 11
732:2x 2x 3x 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 2x 5x 11x 61x 61 = 818620
Therefore, the value for common factors is 818620.
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 = 31474547346000/(1x818620)
LCM = 31474547346000/818620
LCM = 38448300
Thus, we can understand that the LCM of 671,382,305,550,732 is 38448300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 671, 382, 305, 550, 732
1. What is the LCM of 671, 382, 305, 550, 732?
Answer: LCM of 671, 382, 305, 550, 732 is 38448300.
2. How to calculate the LCM of 671, 382, 305, 550, 732?
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 671, 382, 305, 550, 732.
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}.