LCM of 302, 820, 404, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 820, 404, 896 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 302, 820, 404, 896. So, keep reading to learn more.
Given numbers are 302,820,404,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,820,404,896 is 2801303680.
Find LCM of 302,820,404,896 with Prime Factorization
| 2 | 302, 820, 404, 896 |
| 2 | 151, 410, 202, 448 |
| 151, 205, 101, 224 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 151 x 205 x 101 x 224 = 2801303680
Therefore, the lowest common multiple of 302,820,404,896 is 2801303680.
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.
302 x 820 x 404 x 896 = 89641717760
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.
302 : 1, 2, 151, 302
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
404 : 1, 2, 4, 101, 202, 404
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,820,404,896, is 2.
Now, the common factors can be found like this.
302:2x 151
820:2x 2x 5x 41
404:2x 2x 101
896:2x 2x 2x 2x 2x 2x 2x 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 2 = 16
Therefore, the value for common factors is 16.
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 = 89641717760/(2x16)
LCM = 89641717760/32
LCM = 2801303680
Thus, we can understand that the LCM of 302,820,404,896 is 2801303680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 302, 820, 404, 896
1. What is the LCM of 302, 820, 404, 896?
Answer: LCM of 302, 820, 404, 896 is 2801303680.
2. How to calculate the LCM of 302, 820, 404, 896?
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 302, 820, 404, 896.
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}.