LCM of 475, 404, 784, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 475, 404, 784, 190 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 475, 404, 784, 190. So, keep reading to learn more.
Given numbers are 475,404,784,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,404,784,190 is 37612400.
Find LCM of 475,404,784,190 with Prime Factorization
| 2 | 475, 404, 784, 190 |
| 2 | 475, 202, 392, 95 |
| 5 | 475, 101, 196, 95 |
| 19 | 19, 101, 196, 95 |
| 1, 101, 196, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 1 x 101 x 196 x 5 = 37612400
Therefore, the lowest common multiple of 475,404,784,190 is 37612400.
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.
475 x 404 x 784 x 190 = 28585424000
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.
475 : 1, 5, 19, 25, 95, 475
404 : 1, 2, 4, 101, 202, 404
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,404,784,190, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
404:2x 2x 101
784:2x 2x 2x 2x 7x 7
190:2x 5x 19
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 5x 19 = 760
Therefore, the value for common factors is 760.
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 = 28585424000/(1x760)
LCM = 28585424000/760
LCM = 37612400
Thus, we can understand that the LCM of 475,404,784,190 is 37612400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 475, 404, 784, 190
1. What is the LCM of 475, 404, 784, 190?
Answer: LCM of 475, 404, 784, 190 is 37612400.
2. How to calculate the LCM of 475, 404, 784, 190?
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 475, 404, 784, 190.
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}.