LCM of 565, 278, 800, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 278, 800, 928 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 565, 278, 800, 928. So, keep reading to learn more.
Given numbers are 565,278,800,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,278,800,928 is 364402400.
Find LCM of 565,278,800,928 with Prime Factorization
| 2 | 565, 278, 800, 928 |
| 2 | 565, 139, 400, 464 |
| 2 | 565, 139, 200, 232 |
| 2 | 565, 139, 100, 116 |
| 2 | 565, 139, 50, 58 |
| 5 | 565, 139, 25, 29 |
| 113, 139, 5, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 113 x 139 x 5 x 29 = 364402400
Therefore, the lowest common multiple of 565,278,800,928 is 364402400.
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.
565 x 278 x 800 x 928 = 116608768000
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.
565 : 1, 5, 113, 565
278 : 1, 2, 139, 278
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,278,800,928, is 1.
Now, the common factors can be found like this.
565:5x 113
278:2x 139
800:2x 2x 2x 2x 2x 5x 5
928:2x 2x 2x 2x 2x 29
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 = 116608768000/(1x320)
LCM = 116608768000/320
LCM = 364402400
Thus, we can understand that the LCM of 565,278,800,928 is 364402400.
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FAQs on LCM of 565, 278, 800, 928
1. What is the LCM of 565, 278, 800, 928?
Answer: LCM of 565, 278, 800, 928 is 364402400.
2. How to calculate the LCM of 565, 278, 800, 928?
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 565, 278, 800, 928.
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}.