Find the LCM of 224, 583, 281, 590, 320 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, 583, 281, 590, 320. So, keep reading to learn more.
Given numbers are 224,583,281,590,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,583,281,590,320 is 21650847680.
Find LCM of 224,583,281,590,320 with Prime Factorization
2 | 224, 583, 281, 590, 320 |
2 | 112, 583, 281, 295, 160 |
2 | 56, 583, 281, 295, 80 |
2 | 28, 583, 281, 295, 40 |
2 | 14, 583, 281, 295, 20 |
5 | 7, 583, 281, 295, 10 |
7, 583, 281, 59, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 7 x 583 x 281 x 59 x 2 = 21650847680
Therefore, the lowest common multiple of 224,583,281,590,320 is 21650847680.
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 583 x 281 x 590 x 320 = 6928271257600
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
583 : 1, 11, 53, 583
281 : 1, 281
590 : 1, 2, 5, 10, 59, 118, 295, 590
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,583,281,590,320, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
583:11x 53
281:281
590:2x 5x 59
320:2x 2x 2x 2x 2x 2x 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 5 = 320
Therefore, the value for common factors is 320.
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 = 6928271257600/(1x320)
LCM = 6928271257600/320
LCM = 21650847680
Thus, we can understand that the LCM of 224,583,281,590,320 is 21650847680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 224, 583, 281, 590, 320?
Answer: LCM of 224, 583, 281, 590, 320 is 21650847680.
2. How to calculate the LCM of 224, 583, 281, 590, 320?
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, 583, 281, 590, 320.
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}.