LCM of 738, 474, 886, 754, 790
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 474, 886, 754, 790 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 738, 474, 886, 754, 790. So, keep reading to learn more.
Given numbers are 738,474,886,754,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,474,886,754,790 is 48685376610.
Find LCM of 738,474,886,754,790 with Prime Factorization
| 2 | 738, 474, 886, 754, 790 |
| 3 | 369, 237, 443, 377, 395 |
| 79 | 123, 79, 443, 377, 395 |
| 123, 1, 443, 377, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 79 x 123 x 1 x 443 x 377 x 5 = 48685376610
Therefore, the lowest common multiple of 738,474,886,754,790 is 48685376610.
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.
738 x 474 x 886 x 754 x 790 = 184614948105120
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
474 : 1, 2, 3, 6, 79, 158, 237, 474
886 : 1, 2, 443, 886
754 : 1, 2, 13, 26, 29, 58, 377, 754
790 : 1, 2, 5, 10, 79, 158, 395, 790
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,474,886,754,790, is 2.
Now, the common factors can be found like this.
738:2x 3x 3x 41
474:2x 3x 79
886:2x 443
754:2x 13x 29
790:2x 5x 79
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 2x 3x 79 = 1896
Therefore, the value for common factors is 1896.
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 = 184614948105120/(2x1896)
LCM = 184614948105120/3792
LCM = 48685376610
Thus, we can understand that the LCM of 738,474,886,754,790 is 48685376610.
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FAQs on LCM of 738, 474, 886, 754, 790
1. What is the LCM of 738, 474, 886, 754, 790?
Answer: LCM of 738, 474, 886, 754, 790 is 48685376610.
2. How to calculate the LCM of 738, 474, 886, 754, 790?
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 738, 474, 886, 754, 790.
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}.