Find the LCM of 545, 404, 325, 303, 233 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 545, 404, 325, 303, 233. So, keep reading to learn more.
Given numbers are 545,404,325,303,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,404,325,303,233 is 10003878300.
Find LCM of 545,404,325,303,233 with Prime Factorization
5 | 545, 404, 325, 303, 233 |
101 | 109, 404, 65, 303, 233 |
109, 4, 65, 3, 233 |
Multiply the prime numbers at the bottom and the left side.
5 x 101 x 109 x 4 x 65 x 3 x 233 = 10003878300
Therefore, the lowest common multiple of 545,404,325,303,233 is 10003878300.
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.
545 x 404 x 325 x 303 x 233 = 5051958541500
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.
545 : 1, 5, 109, 545
404 : 1, 2, 4, 101, 202, 404
325 : 1, 5, 13, 25, 65, 325
303 : 1, 3, 101, 303
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,404,325,303,233, is 1.
Now, the common factors can be found like this.
545:5x 109
404:2x 2x 101
325:5x 5x 13
303:3x 101
233:233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 101 = 505
Therefore, the value for common factors is 505.
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 = 5051958541500/(1x505)
LCM = 5051958541500/505
LCM = 10003878300
Thus, we can understand that the LCM of 545,404,325,303,233 is 10003878300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 545, 404, 325, 303, 233?
Answer: LCM of 545, 404, 325, 303, 233 is 10003878300.
2. How to calculate the LCM of 545, 404, 325, 303, 233?
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 545, 404, 325, 303, 233.
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}.