LCM of 811, 792, 926, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 792, 926, 924 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 811, 792, 926, 924. So, keep reading to learn more.
Given numbers are 811,792,926,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,792,926,924 is 2081733192.
Find LCM of 811,792,926,924 with Prime Factorization
| 2 | 811, 792, 926, 924 |
| 2 | 811, 396, 463, 462 |
| 3 | 811, 198, 463, 231 |
| 11 | 811, 66, 463, 77 |
| 811, 6, 463, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 811 x 6 x 463 x 7 = 2081733192
Therefore, the lowest common multiple of 811,792,926,924 is 2081733192.
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.
811 x 792 x 926 x 924 = 549577562688
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.
811 : 1, 811
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
926 : 1, 2, 463, 926
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,792,926,924, is 1.
Now, the common factors can be found like this.
811:811
792:2x 2x 2x 3x 3x 11
926:2x 463
924:2x 2x 3x 7x 11
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 549577562688/(1x264)
LCM = 549577562688/264
LCM = 2081733192
Thus, we can understand that the LCM of 811,792,926,924 is 2081733192.
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FAQs on LCM of 811, 792, 926, 924
1. What is the LCM of 811, 792, 926, 924?
Answer: LCM of 811, 792, 926, 924 is 2081733192.
2. How to calculate the LCM of 811, 792, 926, 924?
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 811, 792, 926, 924.
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}.