LCM of 234, 530, 910, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 530, 910, 793 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 234, 530, 910, 793. So, keep reading to learn more.
Given numbers are 234,530,910,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,530,910,793 is 26478270.
Find LCM of 234,530,910,793 with Prime Factorization
| 2 | 234, 530, 910, 793 |
| 5 | 117, 265, 455, 793 |
| 13 | 117, 53, 91, 793 |
| 9, 53, 7, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 9 x 53 x 7 x 61 = 26478270
Therefore, the lowest common multiple of 234,530,910,793 is 26478270.
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.
234 x 530 x 910 x 793 = 89496552600
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
530 : 1, 2, 5, 10, 53, 106, 265, 530
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,530,910,793, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
530:2x 5x 53
910:2x 5x 7x 13
793:13x 61
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 5x 13x 13 = 3380
Therefore, the value for common factors is 3380.
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 = 89496552600/(1x3380)
LCM = 89496552600/3380
LCM = 26478270
Thus, we can understand that the LCM of 234,530,910,793 is 26478270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 234, 530, 910, 793
1. What is the LCM of 234, 530, 910, 793?
Answer: LCM of 234, 530, 910, 793 is 26478270.
2. How to calculate the LCM of 234, 530, 910, 793?
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 234, 530, 910, 793.
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}.