Find the LCM of 850, 181, 545, 855, 724 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 850, 181, 545, 855, 724. So, keep reading to learn more.
Given numbers are 850,181,545,855,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,181,545,855,724 is 5735220300.
Find LCM of 850,181,545,855,724 with Prime Factorization
2 | 850, 181, 545, 855, 724 |
5 | 425, 181, 545, 855, 362 |
181 | 85, 181, 109, 171, 362 |
85, 1, 109, 171, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 181 x 85 x 1 x 109 x 171 x 2 = 5735220300
Therefore, the lowest common multiple of 850,181,545,855,724 is 5735220300.
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.
850 x 181 x 545 x 855 x 724 = 51903743715000
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
181 : 1, 181
545 : 1, 5, 109, 545
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,181,545,855,724, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
181:181
545:5x 109
855:3x 3x 5x 19
724:2x 2x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 181 = 9050
Therefore, the value for common factors is 9050.
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 = 51903743715000/(1x9050)
LCM = 51903743715000/9050
LCM = 5735220300
Thus, we can understand that the LCM of 850,181,545,855,724 is 5735220300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 850, 181, 545, 855, 724?
Answer: LCM of 850, 181, 545, 855, 724 is 5735220300.
2. How to calculate the LCM of 850, 181, 545, 855, 724?
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 850, 181, 545, 855, 724.
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}.