LCM of 798, 697, 593, 893, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 798, 697, 593, 893, 567 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 798, 697, 593, 893, 567. So, keep reading to learn more.
Given numbers are 798,697,593,893,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 798,697,593,893,567 is 418554470502.
Find LCM of 798,697,593,893,567 with Prime Factorization
| 3 | 798, 697, 593, 893, 567 |
| 7 | 266, 697, 593, 893, 189 |
| 19 | 38, 697, 593, 893, 27 |
| 2, 697, 593, 47, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 2 x 697 x 593 x 47 x 27 = 418554470502
Therefore, the lowest common multiple of 798,697,593,893,567 is 418554470502.
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.
798 x 697 x 593 x 893 x 567 = 167003233730298
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.
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
697 : 1, 17, 41, 697
593 : 1, 593
893 : 1, 19, 47, 893
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,697,593,893,567, is 1.
Now, the common factors can be found like this.
798:2x 3x 7x 19
697:17x 41
593:593
893:19x 47
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 19 = 399
Therefore, the value for common factors is 399.
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 = 167003233730298/(1x399)
LCM = 167003233730298/399
LCM = 418554470502
Thus, we can understand that the LCM of 798,697,593,893,567 is 418554470502.
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FAQs on LCM of 798, 697, 593, 893, 567
1. What is the LCM of 798, 697, 593, 893, 567?
Answer: LCM of 798, 697, 593, 893, 567 is 418554470502.
2. How to calculate the LCM of 798, 697, 593, 893, 567?
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 798, 697, 593, 893, 567.
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}.