LCM of 926, 840, 926, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 840, 926, 324 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, 840, 926, 324. So, keep reading to learn more.
Given numbers are 926,840,926,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,840,926,324 is 10500840.
Find LCM of 926,840,926,324 with Prime Factorization
| 2 | 926, 840, 926, 324 |
| 2 | 463, 420, 463, 162 |
| 3 | 463, 210, 463, 81 |
| 463 | 463, 70, 463, 27 |
| 1, 70, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 463 x 1 x 70 x 1 x 27 = 10500840
Therefore, the lowest common multiple of 926,840,926,324 is 10500840.
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 840 x 926 x 324 = 233370668160
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
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
926 : 1, 2, 463, 926
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,840,926,324, is 2.
Now, the common factors can be found like this.
926:2x 463
840:2x 2x 2x 3x 5x 7
926:2x 463
324:2x 2x 3x 3x 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 3x 463 = 11112
Therefore, the value for common factors is 11112.
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 = 233370668160/(2x11112)
LCM = 233370668160/22224
LCM = 10500840
Thus, we can understand that the LCM of 926,840,926,324 is 10500840.
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FAQs on LCM of 926, 840, 926, 324
1. What is the LCM of 926, 840, 926, 324?
Answer: LCM of 926, 840, 926, 324 is 10500840.
2. How to calculate the LCM of 926, 840, 926, 324?
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, 840, 926, 324.
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}.