LCM of 560, 910, 596, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 910, 596, 176 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 560, 910, 596, 176. So, keep reading to learn more.
Given numbers are 560,910,596,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,910,596,176 is 11931920.
Find LCM of 560,910,596,176 with Prime Factorization
| 2 | 560, 910, 596, 176 |
| 2 | 280, 455, 298, 88 |
| 2 | 140, 455, 149, 44 |
| 2 | 70, 455, 149, 22 |
| 5 | 35, 455, 149, 11 |
| 7 | 7, 91, 149, 11 |
| 1, 13, 149, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 1 x 13 x 149 x 11 = 11931920
Therefore, the lowest common multiple of 560,910,596,176 is 11931920.
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.
560 x 910 x 596 x 176 = 53455001600
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
596 : 1, 2, 4, 149, 298, 596
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,910,596,176, is 2.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
910:2x 5x 7x 13
596:2x 2x 149
176:2x 2x 2x 2x 11
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 5x 7 = 2240
Therefore, the value for common factors is 2240.
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 = 53455001600/(2x2240)
LCM = 53455001600/4480
LCM = 11931920
Thus, we can understand that the LCM of 560,910,596,176 is 11931920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 560, 910, 596, 176
1. What is the LCM of 560, 910, 596, 176?
Answer: LCM of 560, 910, 596, 176 is 11931920.
2. How to calculate the LCM of 560, 910, 596, 176?
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 560, 910, 596, 176.
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}.