Find the LCM of 289, 600, 164, 475 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 289, 600, 164, 475. So, keep reading to learn more.
Given numbers are 289,600,164,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,600,164,475 is 135078600.
Find LCM of 289,600,164,475 with Prime Factorization
2 | 289, 600, 164, 475 |
2 | 289, 300, 82, 475 |
5 | 289, 150, 41, 475 |
5 | 289, 30, 41, 95 |
289, 6, 41, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 289 x 6 x 41 x 19 = 135078600
Therefore, the lowest common multiple of 289,600,164,475 is 135078600.
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.
289 x 600 x 164 x 475 = 13507860000
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.
289 : 1, 17, 289
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
164 : 1, 2, 4, 41, 82, 164
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,600,164,475, is 1.
Now, the common factors can be found like this.
289:17x 17
600:2x 2x 2x 3x 5x 5
164:2x 2x 41
475:5x 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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 13507860000/(1x100)
LCM = 13507860000/100
LCM = 135078600
Thus, we can understand that the LCM of 289,600,164,475 is 135078600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 600, 164, 475?
Answer: LCM of 289, 600, 164, 475 is 135078600.
2. How to calculate the LCM of 289, 600, 164, 475?
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 289, 600, 164, 475.
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}.