LCM of 593, 663, 553, 948, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 593, 663, 553, 948, 884 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 593, 663, 553, 948, 884. So, keep reading to learn more.
Given numbers are 593,663,553,948,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 593,663,553,948,884 is 869667708.
Find LCM of 593,663,553,948,884 with Prime Factorization
| 2 | 593, 663, 553, 948, 884 |
| 2 | 593, 663, 553, 474, 442 |
| 3 | 593, 663, 553, 237, 221 |
| 13 | 593, 221, 553, 79, 221 |
| 17 | 593, 17, 553, 79, 17 |
| 79 | 593, 1, 553, 79, 1 |
| 593, 1, 7, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 79 x 593 x 1 x 7 x 1 x 1 = 869667708
Therefore, the lowest common multiple of 593,663,553,948,884 is 869667708.
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.
593 x 663 x 553 x 948 x 884 = 182202342167664
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.
593 : 1, 593
663 : 1, 3, 13, 17, 39, 51, 221, 663
553 : 1, 7, 79, 553
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,663,553,948,884, is 1.
Now, the common factors can be found like this.
593:593
663:3x 13x 17
553:7x 79
948:2x 2x 3x 79
884:2x 2x 13x 17
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 3x 13x 17x 79 = 209508
Therefore, the value for common factors is 209508.
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 = 182202342167664/(1x209508)
LCM = 182202342167664/209508
LCM = 869667708
Thus, we can understand that the LCM of 593,663,553,948,884 is 869667708.
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FAQs on LCM of 593, 663, 553, 948, 884
1. What is the LCM of 593, 663, 553, 948, 884?
Answer: LCM of 593, 663, 553, 948, 884 is 869667708.
2. How to calculate the LCM of 593, 663, 553, 948, 884?
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 593, 663, 553, 948, 884.
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}.