LCM of 287, 726, 384, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 726, 384, 672 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 287, 726, 384, 672. So, keep reading to learn more.
Given numbers are 287,726,384,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,726,384,672 is 13335168.
Find LCM of 287,726,384,672 with Prime Factorization
| 2 | 287, 726, 384, 672 |
| 2 | 287, 363, 192, 336 |
| 2 | 287, 363, 96, 168 |
| 2 | 287, 363, 48, 84 |
| 2 | 287, 363, 24, 42 |
| 3 | 287, 363, 12, 21 |
| 7 | 287, 121, 4, 7 |
| 41, 121, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 41 x 121 x 4 x 1 = 13335168
Therefore, the lowest common multiple of 287,726,384,672 is 13335168.
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.
287 x 726 x 384 x 672 = 53767397376
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.
287 : 1, 7, 41, 287
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,726,384,672, is 1.
Now, the common factors can be found like this.
287:7x 41
726:2x 3x 11x 11
384:2x 2x 2x 2x 2x 2x 2x 3
672:2x 2x 2x 2x 2x 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 7 = 4032
Therefore, the value for common factors is 4032.
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 = 53767397376/(1x4032)
LCM = 53767397376/4032
LCM = 13335168
Thus, we can understand that the LCM of 287,726,384,672 is 13335168.
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FAQs on LCM of 287, 726, 384, 672
1. What is the LCM of 287, 726, 384, 672?
Answer: LCM of 287, 726, 384, 672 is 13335168.
2. How to calculate the LCM of 287, 726, 384, 672?
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 287, 726, 384, 672.
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}.