LCM of 549, 953, 380, 258, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 953, 380, 258, 560 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 549, 953, 380, 258, 560. So, keep reading to learn more.
Given numbers are 549,953,380,258,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,953,380,258,560 is 239373091440.
Find LCM of 549,953,380,258,560 with Prime Factorization
| 2 | 549, 953, 380, 258, 560 |
| 2 | 549, 953, 190, 129, 280 |
| 3 | 549, 953, 95, 129, 140 |
| 5 | 183, 953, 95, 43, 140 |
| 183, 953, 19, 43, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 183 x 953 x 19 x 43 x 28 = 239373091440
Therefore, the lowest common multiple of 549,953,380,258,560 is 239373091440.
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.
549 x 953 x 380 x 258 x 560 = 28724770972800
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.
549 : 1, 3, 9, 61, 183, 549
953 : 1, 953
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
258 : 1, 2, 3, 6, 43, 86, 129, 258
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,953,380,258,560, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
953:953
380:2x 2x 5x 19
258:2x 3x 43
560:2x 2x 2x 2x 5x 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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 28724770972800/(1x120)
LCM = 28724770972800/120
LCM = 239373091440
Thus, we can understand that the LCM of 549,953,380,258,560 is 239373091440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 549, 953, 380, 258, 560
1. What is the LCM of 549, 953, 380, 258, 560?
Answer: LCM of 549, 953, 380, 258, 560 is 239373091440.
2. How to calculate the LCM of 549, 953, 380, 258, 560?
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 549, 953, 380, 258, 560.
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}.