LCM of 531, 924, 544, 969, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 924, 544, 969, 826 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 531, 924, 544, 969, 826. So, keep reading to learn more.
Given numbers are 531,924,544,969,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,924,544,969,826 is 422608032.
Find LCM of 531,924,544,969,826 with Prime Factorization
| 2 | 531, 924, 544, 969, 826 |
| 2 | 531, 462, 272, 969, 413 |
| 3 | 531, 231, 136, 969, 413 |
| 7 | 177, 77, 136, 323, 413 |
| 17 | 177, 11, 136, 323, 59 |
| 59 | 177, 11, 8, 19, 59 |
| 3, 11, 8, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 59 x 3 x 11 x 8 x 19 x 1 = 422608032
Therefore, the lowest common multiple of 531,924,544,969,826 is 422608032.
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.
531 x 924 x 544 x 969 x 826 = 213633431472384
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.
531 : 1, 3, 9, 59, 177, 531
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
969 : 1, 3, 17, 19, 51, 57, 323, 969
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,924,544,969,826, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
924:2x 2x 3x 7x 11
544:2x 2x 2x 2x 2x 17
969:3x 17x 19
826:2x 7x 59
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 3x 7x 17x 59 = 505512
Therefore, the value for common factors is 505512.
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 = 213633431472384/(1x505512)
LCM = 213633431472384/505512
LCM = 422608032
Thus, we can understand that the LCM of 531,924,544,969,826 is 422608032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 531, 924, 544, 969, 826
1. What is the LCM of 531, 924, 544, 969, 826?
Answer: LCM of 531, 924, 544, 969, 826 is 422608032.
2. How to calculate the LCM of 531, 924, 544, 969, 826?
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 531, 924, 544, 969, 826.
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}.