LCM of 926, 926, 948, 288, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 926, 948, 288, 182 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 926, 926, 948, 288, 182. So, keep reading to learn more.
Given numbers are 926,926,948,288,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,926,948,288,182 is 958610016.
Find LCM of 926,926,948,288,182 with Prime Factorization
| 2 | 926, 926, 948, 288, 182 |
| 2 | 463, 463, 474, 144, 91 |
| 3 | 463, 463, 237, 72, 91 |
| 463 | 463, 463, 79, 24, 91 |
| 1, 1, 79, 24, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 463 x 1 x 1 x 79 x 24 x 91 = 958610016
Therefore, the lowest common multiple of 926,926,948,288,182 is 958610016.
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.
926 x 926 x 948 x 288 x 182 = 42608297991168
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.
926 : 1, 2, 463, 926
926 : 1, 2, 463, 926
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
182 : 1, 2, 7, 13, 14, 26, 91, 182
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,926,948,288,182, is 2.
Now, the common factors can be found like this.
926:2x 463
926:2x 463
948:2x 2x 3x 79
288:2x 2x 2x 2x 2x 3x 3
182:2x 7x 13
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 3x 463 = 22224
Therefore, the value for common factors is 22224.
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 = 42608297991168/(2x22224)
LCM = 42608297991168/44448
LCM = 958610016
Thus, we can understand that the LCM of 926,926,948,288,182 is 958610016.
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FAQs on LCM of 926, 926, 948, 288, 182
1. What is the LCM of 926, 926, 948, 288, 182?
Answer: LCM of 926, 926, 948, 288, 182 is 958610016.
2. How to calculate the LCM of 926, 926, 948, 288, 182?
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 926, 926, 948, 288, 182.
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}.