LCM of 793, 754, 756, 209, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 754, 756, 209, 678 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 793, 754, 756, 209, 678. So, keep reading to learn more.
Given numbers are 793,754,756,209,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,754,756,209,678 is 410598832644.
Find LCM of 793,754,756,209,678 with Prime Factorization
| 2 | 793, 754, 756, 209, 678 |
| 3 | 793, 377, 378, 209, 339 |
| 13 | 793, 377, 126, 209, 113 |
| 61, 29, 126, 209, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 61 x 29 x 126 x 209 x 113 = 410598832644
Therefore, the lowest common multiple of 793,754,756,209,678 is 410598832644.
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.
793 x 754 x 756 x 209 x 678 = 64053417892464
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.
793 : 1, 13, 61, 793
754 : 1, 2, 13, 26, 29, 58, 377, 754
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
209 : 1, 11, 19, 209
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,754,756,209,678, is 1.
Now, the common factors can be found like this.
793:13x 61
754:2x 13x 29
756:2x 2x 3x 3x 3x 7
209:11x 19
678:2x 3x 113
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 64053417892464/(1x156)
LCM = 64053417892464/156
LCM = 410598832644
Thus, we can understand that the LCM of 793,754,756,209,678 is 410598832644.
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FAQs on LCM of 793, 754, 756, 209, 678
1. What is the LCM of 793, 754, 756, 209, 678?
Answer: LCM of 793, 754, 756, 209, 678 is 410598832644.
2. How to calculate the LCM of 793, 754, 756, 209, 678?
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 793, 754, 756, 209, 678.
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}.