LCM of 266, 798, 110, 407, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 798, 110, 407, 738 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 266, 798, 110, 407, 738. So, keep reading to learn more.
Given numbers are 266,798,110,407,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,798,110,407,738 is 199743390.
Find LCM of 266,798,110,407,738 with Prime Factorization
| 2 | 266, 798, 110, 407, 738 |
| 3 | 133, 399, 55, 407, 369 |
| 7 | 133, 133, 55, 407, 123 |
| 11 | 19, 19, 55, 407, 123 |
| 19 | 19, 19, 5, 37, 123 |
| 1, 1, 5, 37, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 19 x 1 x 1 x 5 x 37 x 123 = 199743390
Therefore, the lowest common multiple of 266,798,110,407,738 is 199743390.
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.
266 x 798 x 110 x 407 x 738 = 7013389909680
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
110 : 1, 2, 5, 10, 11, 22, 55, 110
407 : 1, 11, 37, 407
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,798,110,407,738, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
798:2x 3x 7x 19
110:2x 5x 11
407:11x 37
738:2x 3x 3x 41
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 7x 11x 19 = 35112
Therefore, the value for common factors is 35112.
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 = 7013389909680/(1x35112)
LCM = 7013389909680/35112
LCM = 199743390
Thus, we can understand that the LCM of 266,798,110,407,738 is 199743390.
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FAQs on LCM of 266, 798, 110, 407, 738
1. What is the LCM of 266, 798, 110, 407, 738?
Answer: LCM of 266, 798, 110, 407, 738 is 199743390.
2. How to calculate the LCM of 266, 798, 110, 407, 738?
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 266, 798, 110, 407, 738.
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}.