LCM of 290, 138, 184, 814, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 138, 184, 814, 396 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 290, 138, 184, 814, 396. So, keep reading to learn more.
Given numbers are 290,138,184,814,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,138,184,814,396 is 97728840.
Find LCM of 290,138,184,814,396 with Prime Factorization
| 2 | 290, 138, 184, 814, 396 |
| 2 | 145, 69, 92, 407, 198 |
| 3 | 145, 69, 46, 407, 99 |
| 11 | 145, 23, 46, 407, 33 |
| 23 | 145, 23, 46, 37, 3 |
| 145, 1, 2, 37, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 145 x 1 x 2 x 37 x 3 = 97728840
Therefore, the lowest common multiple of 290,138,184,814,396 is 97728840.
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.
290 x 138 x 184 x 814 x 396 = 2373638065920
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
138 : 1, 2, 3, 6, 23, 46, 69, 138
184 : 1, 2, 4, 8, 23, 46, 92, 184
814 : 1, 2, 11, 22, 37, 74, 407, 814
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,138,184,814,396, is 2.
Now, the common factors can be found like this.
290:2x 5x 29
138:2x 3x 23
184:2x 2x 2x 23
814:2x 11x 37
396:2x 2x 3x 3x 11
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 2x 3x 11x 23 = 12144
Therefore, the value for common factors is 12144.
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 = 2373638065920/(2x12144)
LCM = 2373638065920/24288
LCM = 97728840
Thus, we can understand that the LCM of 290,138,184,814,396 is 97728840.
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FAQs on LCM of 290, 138, 184, 814, 396
1. What is the LCM of 290, 138, 184, 814, 396?
Answer: LCM of 290, 138, 184, 814, 396 is 97728840.
2. How to calculate the LCM of 290, 138, 184, 814, 396?
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 290, 138, 184, 814, 396.
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}.