LCM of 693, 993, 156, 754, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 993, 156, 754, 427 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 693, 993, 156, 754, 427. So, keep reading to learn more.
Given numbers are 693,993,156,754,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,993,156,754,427 is 21100483404.
Find LCM of 693,993,156,754,427 with Prime Factorization
| 2 | 693, 993, 156, 754, 427 |
| 3 | 693, 993, 78, 377, 427 |
| 7 | 231, 331, 26, 377, 427 |
| 13 | 33, 331, 26, 377, 61 |
| 33, 331, 2, 29, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 33 x 331 x 2 x 29 x 61 = 21100483404
Therefore, the lowest common multiple of 693,993,156,754,427 is 21100483404.
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.
693 x 993 x 156 x 754 x 427 = 34562591815752
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
993 : 1, 3, 331, 993
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
754 : 1, 2, 13, 26, 29, 58, 377, 754
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,993,156,754,427, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
993:3x 331
156:2x 2x 3x 13
754:2x 13x 29
427:7x 61
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 3x 7x 13 = 1638
Therefore, the value for common factors is 1638.
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 = 34562591815752/(1x1638)
LCM = 34562591815752/1638
LCM = 21100483404
Thus, we can understand that the LCM of 693,993,156,754,427 is 21100483404.
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FAQs on LCM of 693, 993, 156, 754, 427
1. What is the LCM of 693, 993, 156, 754, 427?
Answer: LCM of 693, 993, 156, 754, 427 is 21100483404.
2. How to calculate the LCM of 693, 993, 156, 754, 427?
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 693, 993, 156, 754, 427.
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}.