LCM of 556, 768, 896, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 768, 896, 573 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 556, 768, 896, 573. So, keep reading to learn more.
Given numbers are 556,768,896,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,768,896,573 is 142727424.
Find LCM of 556,768,896,573 with Prime Factorization
| 2 | 556, 768, 896, 573 |
| 2 | 278, 384, 448, 573 |
| 2 | 139, 192, 224, 573 |
| 2 | 139, 96, 112, 573 |
| 2 | 139, 48, 56, 573 |
| 2 | 139, 24, 28, 573 |
| 2 | 139, 12, 14, 573 |
| 3 | 139, 6, 7, 573 |
| 139, 2, 7, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 139 x 2 x 7 x 191 = 142727424
Therefore, the lowest common multiple of 556,768,896,573 is 142727424.
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.
556 x 768 x 896 x 573 = 219229323264
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.
556 : 1, 2, 4, 139, 278, 556
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,768,896,573, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
768:2x 2x 2x 2x 2x 2x 2x 2x 3
896:2x 2x 2x 2x 2x 2x 2x 7
573:3x 191
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 3 = 1536
Therefore, the value for common factors is 1536.
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 = 219229323264/(1x1536)
LCM = 219229323264/1536
LCM = 142727424
Thus, we can understand that the LCM of 556,768,896,573 is 142727424.
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FAQs on LCM of 556, 768, 896, 573
1. What is the LCM of 556, 768, 896, 573?
Answer: LCM of 556, 768, 896, 573 is 142727424.
2. How to calculate the LCM of 556, 768, 896, 573?
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 556, 768, 896, 573.
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}.