LCM of 123, 604, 798, 793, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 123, 604, 798, 793, 741 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 123, 604, 798, 793, 741. So, keep reading to learn more.
Given numbers are 123,604,798,793,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,604,798,793,741 is 7835502948.
Find LCM of 123,604,798,793,741 with Prime Factorization
| 2 | 123, 604, 798, 793, 741 |
| 3 | 123, 302, 399, 793, 741 |
| 13 | 41, 302, 133, 793, 247 |
| 19 | 41, 302, 133, 61, 19 |
| 41, 302, 7, 61, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 41 x 302 x 7 x 61 x 1 = 7835502948
Therefore, the lowest common multiple of 123,604,798,793,741 is 7835502948.
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.
123 x 604 x 798 x 793 x 741 = 34836646106808
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.
123 : 1, 3, 41, 123
604 : 1, 2, 4, 151, 302, 604
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
793 : 1, 13, 61, 793
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,604,798,793,741, is 1.
Now, the common factors can be found like this.
123:3x 41
604:2x 2x 151
798:2x 3x 7x 19
793:13x 61
741:3x 13x 19
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 13x 19 = 4446
Therefore, the value for common factors is 4446.
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 = 34836646106808/(1x4446)
LCM = 34836646106808/4446
LCM = 7835502948
Thus, we can understand that the LCM of 123,604,798,793,741 is 7835502948.
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FAQs on LCM of 123, 604, 798, 793, 741
1. What is the LCM of 123, 604, 798, 793, 741?
Answer: LCM of 123, 604, 798, 793, 741 is 7835502948.
2. How to calculate the LCM of 123, 604, 798, 793, 741?
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 123, 604, 798, 793, 741.
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}.