Find the LCM of 460, 736, 884, 224, 578 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 460, 736, 884, 224, 578. So, keep reading to learn more.
Given numbers are 460,736,884,224,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,736,884,224,578 is 96780320.
Find LCM of 460,736,884,224,578 with Prime Factorization
2 | 460, 736, 884, 224, 578 |
2 | 230, 368, 442, 112, 289 |
2 | 115, 184, 221, 56, 289 |
2 | 115, 92, 221, 28, 289 |
2 | 115, 46, 221, 14, 289 |
17 | 115, 23, 221, 7, 289 |
23 | 115, 23, 13, 7, 17 |
5, 1, 13, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 17 x 23 x 5 x 1 x 13 x 7 x 17 = 96780320
Therefore, the lowest common multiple of 460,736,884,224,578 is 96780320.
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.
460 x 736 x 884 x 224 x 578 = 38749291642880
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
578 : 1, 2, 17, 34, 289, 578
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,736,884,224,578, is 2.
Now, the common factors can be found like this.
460:2x 2x 5x 23
736:2x 2x 2x 2x 2x 23
884:2x 2x 13x 17
224:2x 2x 2x 2x 2x 7
578:2x 17x 17
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 2x 2x 2x 17x 23 = 200192
Therefore, the value for common factors is 200192.
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 = 38749291642880/(2x200192)
LCM = 38749291642880/400384
LCM = 96780320
Thus, we can understand that the LCM of 460,736,884,224,578 is 96780320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 736, 884, 224, 578?
Answer: LCM of 460, 736, 884, 224, 578 is 96780320.
2. How to calculate the LCM of 460, 736, 884, 224, 578?
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 460, 736, 884, 224, 578.
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}.