LCM of 394, 377, 677, 780, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 377, 677, 780, 490 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 394, 377, 677, 780, 490. So, keep reading to learn more.
Given numbers are 394,377,677,780,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,377,677,780,490 is 147823532220.
Find LCM of 394,377,677,780,490 with Prime Factorization
| 2 | 394, 377, 677, 780, 490 |
| 5 | 197, 377, 677, 390, 245 |
| 13 | 197, 377, 677, 78, 49 |
| 197, 29, 677, 6, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 197 x 29 x 677 x 6 x 49 = 147823532220
Therefore, the lowest common multiple of 394,377,677,780,490 is 147823532220.
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.
394 x 377 x 677 x 780 x 490 = 38434118377200
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.
394 : 1, 2, 197, 394
377 : 1, 13, 29, 377
677 : 1, 677
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,377,677,780,490, is 1.
Now, the common factors can be found like this.
394:2x 197
377:13x 29
677:677
780:2x 2x 3x 5x 13
490:2x 5x 7x 7
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 13 = 260
Therefore, the value for common factors is 260.
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 = 38434118377200/(1x260)
LCM = 38434118377200/260
LCM = 147823532220
Thus, we can understand that the LCM of 394,377,677,780,490 is 147823532220.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 394, 377, 677, 780, 490
1. What is the LCM of 394, 377, 677, 780, 490?
Answer: LCM of 394, 377, 677, 780, 490 is 147823532220.
2. How to calculate the LCM of 394, 377, 677, 780, 490?
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 394, 377, 677, 780, 490.
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}.