LCM of 577, 213, 142, 288, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 213, 142, 288, 960 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 577, 213, 142, 288, 960. So, keep reading to learn more.
Given numbers are 577,213,142,288,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,213,142,288,960 is 117984960.
Find LCM of 577,213,142,288,960 with Prime Factorization
| 2 | 577, 213, 142, 288, 960 |
| 2 | 577, 213, 71, 144, 480 |
| 2 | 577, 213, 71, 72, 240 |
| 2 | 577, 213, 71, 36, 120 |
| 2 | 577, 213, 71, 18, 60 |
| 3 | 577, 213, 71, 9, 30 |
| 71 | 577, 71, 71, 3, 10 |
| 577, 1, 1, 3, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 71 x 577 x 1 x 1 x 3 x 10 = 117984960
Therefore, the lowest common multiple of 577,213,142,288,960 is 117984960.
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.
577 x 213 x 142 x 288 x 960 = 4825112924160
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.
577 : 1, 577
213 : 1, 3, 71, 213
142 : 1, 2, 71, 142
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,213,142,288,960, is 1.
Now, the common factors can be found like this.
577:577
213:3x 71
142:2x 71
288:2x 2x 2x 2x 2x 3x 3
960:2x 2x 2x 2x 2x 2x 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 2x 2x 3x 3x 71 = 40896
Therefore, the value for common factors is 40896.
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 = 4825112924160/(1x40896)
LCM = 4825112924160/40896
LCM = 117984960
Thus, we can understand that the LCM of 577,213,142,288,960 is 117984960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 577, 213, 142, 288, 960
1. What is the LCM of 577, 213, 142, 288, 960?
Answer: LCM of 577, 213, 142, 288, 960 is 117984960.
2. How to calculate the LCM of 577, 213, 142, 288, 960?
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 577, 213, 142, 288, 960.
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}.