LCM of 826, 523, 228, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 523, 228, 523 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 826, 523, 228, 523. So, keep reading to learn more.
Given numbers are 826,523,228,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,523,228,523 is 49247772.
Find LCM of 826,523,228,523 with Prime Factorization
| 2 | 826, 523, 228, 523 |
| 523 | 413, 523, 114, 523 |
| 413, 1, 114, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 523 x 413 x 1 x 114 x 1 = 49247772
Therefore, the lowest common multiple of 826,523,228,523 is 49247772.
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.
826 x 523 x 228 x 523 = 51513169512
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
523 : 1, 523
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,523,228,523, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
523:523
228:2x 2x 3x 19
523:523
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 523 = 1046
Therefore, the value for common factors is 1046.
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 = 51513169512/(1x1046)
LCM = 51513169512/1046
LCM = 49247772
Thus, we can understand that the LCM of 826,523,228,523 is 49247772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 826, 523, 228, 523
1. What is the LCM of 826, 523, 228, 523?
Answer: LCM of 826, 523, 228, 523 is 49247772.
2. How to calculate the LCM of 826, 523, 228, 523?
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 826, 523, 228, 523.
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}.