LCM of 993, 697, 772, 302, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 697, 772, 302, 424 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 993, 697, 772, 302, 424. So, keep reading to learn more.
Given numbers are 993,697,772,302,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,697,772,302,424 is 8552284496472.
Find LCM of 993,697,772,302,424 with Prime Factorization
| 2 | 993, 697, 772, 302, 424 |
| 2 | 993, 697, 386, 151, 212 |
| 993, 697, 193, 151, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 993 x 697 x 193 x 151 x 106 = 8552284496472
Therefore, the lowest common multiple of 993,697,772,302,424 is 8552284496472.
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.
993 x 697 x 772 x 302 x 424 = 68418275971776
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.
993 : 1, 3, 331, 993
697 : 1, 17, 41, 697
772 : 1, 2, 4, 193, 386, 772
302 : 1, 2, 151, 302
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,697,772,302,424, is 1.
Now, the common factors can be found like this.
993:3x 331
697:17x 41
772:2x 2x 193
302:2x 151
424:2x 2x 2x 53
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 2 = 8
Therefore, the value for common factors is 8.
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 = 68418275971776/(1x8)
LCM = 68418275971776/8
LCM = 8552284496472
Thus, we can understand that the LCM of 993,697,772,302,424 is 8552284496472.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 697, 772, 302, 424
1. What is the LCM of 993, 697, 772, 302, 424?
Answer: LCM of 993, 697, 772, 302, 424 is 8552284496472.
2. How to calculate the LCM of 993, 697, 772, 302, 424?
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 993, 697, 772, 302, 424.
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}.