LCM of 864, 302, 704, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 302, 704, 378 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 864, 302, 704, 378. So, keep reading to learn more.
Given numbers are 864,302,704,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,302,704,378 is 20091456.
Find LCM of 864,302,704,378 with Prime Factorization
| 2 | 864, 302, 704, 378 |
| 2 | 432, 151, 352, 189 |
| 2 | 216, 151, 176, 189 |
| 2 | 108, 151, 88, 189 |
| 2 | 54, 151, 44, 189 |
| 3 | 27, 151, 22, 189 |
| 3 | 9, 151, 22, 63 |
| 3 | 3, 151, 22, 21 |
| 1, 151, 22, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 1 x 151 x 22 x 7 = 20091456
Therefore, the lowest common multiple of 864,302,704,378 is 20091456.
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.
864 x 302 x 704 x 378 = 69436071936
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
302 : 1, 2, 151, 302
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,302,704,378, is 2.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
302:2x 151
704:2x 2x 2x 2x 2x 2x 11
378:2x 3x 3x 3x 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 2x 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 69436071936/(2x1728)
LCM = 69436071936/3456
LCM = 20091456
Thus, we can understand that the LCM of 864,302,704,378 is 20091456.
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FAQs on LCM of 864, 302, 704, 378
1. What is the LCM of 864, 302, 704, 378?
Answer: LCM of 864, 302, 704, 378 is 20091456.
2. How to calculate the LCM of 864, 302, 704, 378?
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 864, 302, 704, 378.
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}.