LCM of 365, 494, 380, 754, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 494, 380, 754, 720 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 365, 494, 380, 754, 720. So, keep reading to learn more.
Given numbers are 365,494,380,754,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,494,380,754,720 is 376487280.
Find LCM of 365,494,380,754,720 with Prime Factorization
| 2 | 365, 494, 380, 754, 720 |
| 2 | 365, 247, 190, 377, 360 |
| 5 | 365, 247, 95, 377, 180 |
| 13 | 73, 247, 19, 377, 36 |
| 19 | 73, 19, 19, 29, 36 |
| 73, 1, 1, 29, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 19 x 73 x 1 x 1 x 29 x 36 = 376487280
Therefore, the lowest common multiple of 365,494,380,754,720 is 376487280.
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.
365 x 494 x 380 x 754 x 720 = 37196943264000
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.
365 : 1, 5, 73, 365
494 : 1, 2, 13, 19, 26, 38, 247, 494
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
754 : 1, 2, 13, 26, 29, 58, 377, 754
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,494,380,754,720, is 1.
Now, the common factors can be found like this.
365:5x 73
494:2x 13x 19
380:2x 2x 5x 19
754:2x 13x 29
720:2x 2x 2x 2x 3x 3x 5
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 2x 5x 5x 13x 19 = 98800
Therefore, the value for common factors is 98800.
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 = 37196943264000/(1x98800)
LCM = 37196943264000/98800
LCM = 376487280
Thus, we can understand that the LCM of 365,494,380,754,720 is 376487280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 365, 494, 380, 754, 720
1. What is the LCM of 365, 494, 380, 754, 720?
Answer: LCM of 365, 494, 380, 754, 720 is 376487280.
2. How to calculate the LCM of 365, 494, 380, 754, 720?
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 365, 494, 380, 754, 720.
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}.