LCM of 993, 638, 613, 630, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 638, 613, 630, 897 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, 638, 613, 630, 897. So, keep reading to learn more.
Given numbers are 993,638,613,630,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,638,613,630,897 is 12192447357090.
Find LCM of 993,638,613,630,897 with Prime Factorization
| 2 | 993, 638, 613, 630, 897 |
| 3 | 993, 319, 613, 315, 897 |
| 331, 319, 613, 105, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 319 x 613 x 105 x 299 = 12192447357090
Therefore, the lowest common multiple of 993,638,613,630,897 is 12192447357090.
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 638 x 613 x 630 x 897 = 219464052427620
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
613 : 1, 613
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,638,613,630,897, is 1.
Now, the common factors can be found like this.
993:3x 331
638:2x 11x 29
613:613
630:2x 3x 3x 5x 7
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 219464052427620/(1x18)
LCM = 219464052427620/18
LCM = 12192447357090
Thus, we can understand that the LCM of 993,638,613,630,897 is 12192447357090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 638, 613, 630, 897
1. What is the LCM of 993, 638, 613, 630, 897?
Answer: LCM of 993, 638, 613, 630, 897 is 12192447357090.
2. How to calculate the LCM of 993, 638, 613, 630, 897?
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, 638, 613, 630, 897.
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}.