LCM of 926, 232, 824, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 232, 824, 928 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, 232, 824, 928. So, keep reading to learn more.
Given numbers are 926,232,824,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,232,824,928 is 44255392.
Find LCM of 926,232,824,928 with Prime Factorization
| 2 | 926, 232, 824, 928 |
| 2 | 463, 116, 412, 464 |
| 2 | 463, 58, 206, 232 |
| 29 | 463, 29, 103, 116 |
| 463, 1, 103, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 463 x 1 x 103 x 4 = 44255392
Therefore, the lowest common multiple of 926,232,824,928 is 44255392.
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 232 x 824 x 928 = 164276015104
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
232 : 1, 2, 4, 8, 29, 58, 116, 232
824 : 1, 2, 4, 8, 103, 206, 412, 824
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,232,824,928, is 2.
Now, the common factors can be found like this.
926:2x 463
232:2x 2x 2x 29
824:2x 2x 2x 103
928:2x 2x 2x 2x 2x 29
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 29 = 1856
Therefore, the value for common factors is 1856.
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 = 164276015104/(2x1856)
LCM = 164276015104/3712
LCM = 44255392
Thus, we can understand that the LCM of 926,232,824,928 is 44255392.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 926, 232, 824, 928
1. What is the LCM of 926, 232, 824, 928?
Answer: LCM of 926, 232, 824, 928 is 44255392.
2. How to calculate the LCM of 926, 232, 824, 928?
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, 232, 824, 928.
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}.