LCM of 645, 195, 377, 480, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 195, 377, 480, 993 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 645, 195, 377, 480, 993. So, keep reading to learn more.
Given numbers are 645,195,377,480,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,195,377,480,993 is 2575603680.
Find LCM of 645,195,377,480,993 with Prime Factorization
| 3 | 645, 195, 377, 480, 993 |
| 5 | 215, 65, 377, 160, 331 |
| 13 | 43, 13, 377, 32, 331 |
| 43, 1, 29, 32, 331 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 43 x 1 x 29 x 32 x 331 = 2575603680
Therefore, the lowest common multiple of 645,195,377,480,993 is 2575603680.
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.
645 x 195 x 377 x 480 x 993 = 22600922292000
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
195 : 1, 3, 5, 13, 15, 39, 65, 195
377 : 1, 13, 29, 377
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,195,377,480,993, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
195:3x 5x 13
377:13x 29
480:2x 2x 2x 2x 2x 3x 5
993:3x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 13 = 8775
Therefore, the value for common factors is 8775.
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 = 22600922292000/(1x8775)
LCM = 22600922292000/8775
LCM = 2575603680
Thus, we can understand that the LCM of 645,195,377,480,993 is 2575603680.
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FAQs on LCM of 645, 195, 377, 480, 993
1. What is the LCM of 645, 195, 377, 480, 993?
Answer: LCM of 645, 195, 377, 480, 993 is 2575603680.
2. How to calculate the LCM of 645, 195, 377, 480, 993?
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 645, 195, 377, 480, 993.
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}.