LCM of 535, 593, 824, 442, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 593, 824, 442, 936 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 535, 593, 824, 442, 936. So, keep reading to learn more.
Given numbers are 535,593,824,442,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,593,824,442,936 is 519960640680.
Find LCM of 535,593,824,442,936 with Prime Factorization
| 2 | 535, 593, 824, 442, 936 |
| 2 | 535, 593, 412, 221, 468 |
| 2 | 535, 593, 206, 221, 234 |
| 13 | 535, 593, 103, 221, 117 |
| 535, 593, 103, 17, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 535 x 593 x 103 x 17 x 9 = 519960640680
Therefore, the lowest common multiple of 535,593,824,442,936 is 519960640680.
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.
535 x 593 x 824 x 442 x 936 = 108151813261440
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.
535 : 1, 5, 107, 535
593 : 1, 593
824 : 1, 2, 4, 8, 103, 206, 412, 824
442 : 1, 2, 13, 17, 26, 34, 221, 442
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,593,824,442,936, is 1.
Now, the common factors can be found like this.
535:5x 107
593:593
824:2x 2x 2x 103
442:2x 13x 17
936:2x 2x 2x 3x 3x 13
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 13 = 208
Therefore, the value for common factors is 208.
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 = 108151813261440/(1x208)
LCM = 108151813261440/208
LCM = 519960640680
Thus, we can understand that the LCM of 535,593,824,442,936 is 519960640680.
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FAQs on LCM of 535, 593, 824, 442, 936
1. What is the LCM of 535, 593, 824, 442, 936?
Answer: LCM of 535, 593, 824, 442, 936 is 519960640680.
2. How to calculate the LCM of 535, 593, 824, 442, 936?
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 535, 593, 824, 442, 936.
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}.