LCM of 224, 359, 574, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 359, 574, 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 224, 359, 574, 560. So, keep reading to learn more.
Given numbers are 224,359,574,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,359,574,560 is 16485280.
Find LCM of 224,359,574,560 with Prime Factorization
| 2 | 224, 359, 574, 560 |
| 2 | 112, 359, 287, 280 |
| 2 | 56, 359, 287, 140 |
| 2 | 28, 359, 287, 70 |
| 7 | 14, 359, 287, 35 |
| 2, 359, 41, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 2 x 359 x 41 x 5 = 16485280
Therefore, the lowest common multiple of 224,359,574,560 is 16485280.
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.
224 x 359 x 574 x 560 = 25848919040
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
359 : 1, 359
574 : 1, 2, 7, 14, 41, 82, 287, 574
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 224,359,574,560, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
359:359
574:2x 7x 41
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 2x 2x 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 25848919040/(1x1568)
LCM = 25848919040/1568
LCM = 16485280
Thus, we can understand that the LCM of 224,359,574,560 is 16485280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 224, 359, 574, 560
1. What is the LCM of 224, 359, 574, 560?
Answer: LCM of 224, 359, 574, 560 is 16485280.
2. How to calculate the LCM of 224, 359, 574, 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 224, 359, 574, 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}.