LCM of 141, 410, 928, 334, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 141, 410, 928, 334, 388 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 141, 410, 928, 334, 388. So, keep reading to learn more.
Given numbers are 141,410,928,334,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,410,928,334,388 is 434519384160.
Find LCM of 141,410,928,334,388 with Prime Factorization
| 2 | 141, 410, 928, 334, 388 |
| 2 | 141, 205, 464, 167, 194 |
| 141, 205, 232, 167, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 141 x 205 x 232 x 167 x 97 = 434519384160
Therefore, the lowest common multiple of 141,410,928,334,388 is 434519384160.
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.
141 x 410 x 928 x 334 x 388 = 6952310146560
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.
141 : 1, 3, 47, 141
410 : 1, 2, 5, 10, 41, 82, 205, 410
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
334 : 1, 2, 167, 334
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,410,928,334,388, is 1.
Now, the common factors can be found like this.
141:3x 47
410:2x 5x 41
928:2x 2x 2x 2x 2x 29
334:2x 167
388:2x 2x 97
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 2 = 16
Therefore, the value for common factors is 16.
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 = 6952310146560/(1x16)
LCM = 6952310146560/16
LCM = 434519384160
Thus, we can understand that the LCM of 141,410,928,334,388 is 434519384160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 141, 410, 928, 334, 388
1. What is the LCM of 141, 410, 928, 334, 388?
Answer: LCM of 141, 410, 928, 334, 388 is 434519384160.
2. How to calculate the LCM of 141, 410, 928, 334, 388?
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 141, 410, 928, 334, 388.
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}.