LCM of 287, 824, 392, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 824, 392, 816 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, 824, 392, 816. So, keep reading to learn more.
Given numbers are 287,824,392,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,824,392,816 is 168852432.
Find LCM of 287,824,392,816 with Prime Factorization
| 2 | 287, 824, 392, 816 |
| 2 | 287, 412, 196, 408 |
| 2 | 287, 206, 98, 204 |
| 7 | 287, 103, 49, 102 |
| 41, 103, 7, 102 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 41 x 103 x 7 x 102 = 168852432
Therefore, the lowest common multiple of 287,824,392,816 is 168852432.
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 824 x 392 x 816 = 75645889536
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
824 : 1, 2, 4, 8, 103, 206, 412, 824
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,824,392,816, is 1.
Now, the common factors can be found like this.
287:7x 41
824:2x 2x 2x 103
392:2x 2x 2x 7x 7
816:2x 2x 2x 2x 3x 17
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 7 = 448
Therefore, the value for common factors is 448.
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 = 75645889536/(1x448)
LCM = 75645889536/448
LCM = 168852432
Thus, we can understand that the LCM of 287,824,392,816 is 168852432.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 287, 824, 392, 816
1. What is the LCM of 287, 824, 392, 816?
Answer: LCM of 287, 824, 392, 816 is 168852432.
2. How to calculate the LCM of 287, 824, 392, 816?
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, 824, 392, 816.
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}.