LCM of 185, 192, 400, 600, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 185, 192, 400, 600, 458 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 185, 192, 400, 600, 458. So, keep reading to learn more.
Given numbers are 185,192,400,600,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,192,400,600,458 is 40670400.
Find LCM of 185,192,400,600,458 with Prime Factorization
| 2 | 185, 192, 400, 600, 458 |
| 2 | 185, 96, 200, 300, 229 |
| 2 | 185, 48, 100, 150, 229 |
| 2 | 185, 24, 50, 75, 229 |
| 3 | 185, 12, 25, 75, 229 |
| 5 | 185, 4, 25, 25, 229 |
| 5 | 37, 4, 5, 5, 229 |
| 37, 4, 1, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 5 x 37 x 4 x 1 x 1 x 229 = 40670400
Therefore, the lowest common multiple of 185,192,400,600,458 is 40670400.
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.
185 x 192 x 400 x 600 x 458 = 3904358400000
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.
185 : 1, 5, 37, 185
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,192,400,600,458, is 1.
Now, the common factors can be found like this.
185:5x 37
192:2x 2x 2x 2x 2x 2x 3
400:2x 2x 2x 2x 5x 5
600:2x 2x 2x 3x 5x 5
458:2x 229
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 2x 2x 2x 2x 3x 5x 5x 5 = 96000
Therefore, the value for common factors is 96000.
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 = 3904358400000/(1x96000)
LCM = 3904358400000/96000
LCM = 40670400
Thus, we can understand that the LCM of 185,192,400,600,458 is 40670400.
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FAQs on LCM of 185, 192, 400, 600, 458
1. What is the LCM of 185, 192, 400, 600, 458?
Answer: LCM of 185, 192, 400, 600, 458 is 40670400.
2. How to calculate the LCM of 185, 192, 400, 600, 458?
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 185, 192, 400, 600, 458.
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}.