LCM of 287, 458, 208, 892, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 458, 208, 892, 576 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, 458, 208, 892, 576. So, keep reading to learn more.
Given numbers are 287,458,208,892,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,458,208,892,576 is 109745842752.
Find LCM of 287,458,208,892,576 with Prime Factorization
| 2 | 287, 458, 208, 892, 576 |
| 2 | 287, 229, 104, 446, 288 |
| 2 | 287, 229, 52, 223, 144 |
| 2 | 287, 229, 26, 223, 72 |
| 287, 229, 13, 223, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 287 x 229 x 13 x 223 x 36 = 109745842752
Therefore, the lowest common multiple of 287,458,208,892,576 is 109745842752.
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 458 x 208 x 892 x 576 = 14047467872256
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
458 : 1, 2, 229, 458
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
892 : 1, 2, 4, 223, 446, 892
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,458,208,892,576, is 1.
Now, the common factors can be found like this.
287:7x 41
458:2x 229
208:2x 2x 2x 2x 13
892:2x 2x 223
576:2x 2x 2x 2x 2x 2x 3x 3
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 2 = 128
Therefore, the value for common factors is 128.
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 = 14047467872256/(1x128)
LCM = 14047467872256/128
LCM = 109745842752
Thus, we can understand that the LCM of 287,458,208,892,576 is 109745842752.
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FAQs on LCM of 287, 458, 208, 892, 576
1. What is the LCM of 287, 458, 208, 892, 576?
Answer: LCM of 287, 458, 208, 892, 576 is 109745842752.
2. How to calculate the LCM of 287, 458, 208, 892, 576?
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, 458, 208, 892, 576.
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}.