LCM of 404, 425, 611, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 425, 611, 188 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 404, 425, 611, 188. So, keep reading to learn more.
Given numbers are 404,425,611,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,425,611,188 is 104908700.
Find LCM of 404,425,611,188 with Prime Factorization
| 2 | 404, 425, 611, 188 |
| 2 | 202, 425, 611, 94 |
| 47 | 101, 425, 611, 47 |
| 101, 425, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 101 x 425 x 13 x 1 = 104908700
Therefore, the lowest common multiple of 404,425,611,188 is 104908700.
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.
404 x 425 x 611 x 188 = 19722835600
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.
404 : 1, 2, 4, 101, 202, 404
425 : 1, 5, 17, 25, 85, 425
611 : 1, 13, 47, 611
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,425,611,188, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
425:5x 5x 17
611:13x 47
188:2x 2x 47
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 47 = 188
Therefore, the value for common factors is 188.
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 = 19722835600/(1x188)
LCM = 19722835600/188
LCM = 104908700
Thus, we can understand that the LCM of 404,425,611,188 is 104908700.
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FAQs on LCM of 404, 425, 611, 188
1. What is the LCM of 404, 425, 611, 188?
Answer: LCM of 404, 425, 611, 188 is 104908700.
2. How to calculate the LCM of 404, 425, 611, 188?
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 404, 425, 611, 188.
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}.