LCM of 530, 368, 897, 192, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 530, 368, 897, 192, 533 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 530, 368, 897, 192, 533. So, keep reading to learn more.
Given numbers are 530,368,897,192,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,368,897,192,533 is 623737920.
Find LCM of 530,368,897,192,533 with Prime Factorization
| 2 | 530, 368, 897, 192, 533 |
| 2 | 265, 184, 897, 96, 533 |
| 2 | 265, 92, 897, 48, 533 |
| 2 | 265, 46, 897, 24, 533 |
| 3 | 265, 23, 897, 12, 533 |
| 13 | 265, 23, 299, 4, 533 |
| 23 | 265, 23, 23, 4, 41 |
| 265, 1, 1, 4, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 23 x 265 x 1 x 1 x 4 x 41 = 623737920
Therefore, the lowest common multiple of 530,368,897,192,533 is 623737920.
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.
530 x 368 x 897 x 192 x 533 = 17903773255680
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.
530 : 1, 2, 5, 10, 53, 106, 265, 530
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
897 : 1, 3, 13, 23, 39, 69, 299, 897
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,368,897,192,533, is 1.
Now, the common factors can be found like this.
530:2x 5x 53
368:2x 2x 2x 2x 23
897:3x 13x 23
192:2x 2x 2x 2x 2x 2x 3
533:13x 41
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 3x 13x 23 = 28704
Therefore, the value for common factors is 28704.
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 = 17903773255680/(1x28704)
LCM = 17903773255680/28704
LCM = 623737920
Thus, we can understand that the LCM of 530,368,897,192,533 is 623737920.
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FAQs on LCM of 530, 368, 897, 192, 533
1. What is the LCM of 530, 368, 897, 192, 533?
Answer: LCM of 530, 368, 897, 192, 533 is 623737920.
2. How to calculate the LCM of 530, 368, 897, 192, 533?
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 530, 368, 897, 192, 533.
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}.