Find the LCM of 427, 649, 295, 103, 225 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 427, 649, 295, 103, 225. So, keep reading to learn more.
Given numbers are 427,649,295,103,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,649,295,103,225 is 6422325525.
Find LCM of 427,649,295,103,225 with Prime Factorization
5 | 427, 649, 295, 103, 225 |
59 | 427, 649, 59, 103, 45 |
427, 11, 1, 103, 45 |
Multiply the prime numbers at the bottom and the left side.
5 x 59 x 427 x 11 x 1 x 103 x 45 = 6422325525
Therefore, the lowest common multiple of 427,649,295,103,225 is 6422325525.
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.
427 x 649 x 295 x 103 x 225 = 1894586029875
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.
427 : 1, 7, 61, 427
649 : 1, 11, 59, 649
295 : 1, 5, 59, 295
103 : 1, 103
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,649,295,103,225, is 1.
Now, the common factors can be found like this.
427:7x 61
649:11x 59
295:5x 59
103:103
225:3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 59 = 295
Therefore, the value for common factors is 295.
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 = 1894586029875/(1x295)
LCM = 1894586029875/295
LCM = 6422325525
Thus, we can understand that the LCM of 427,649,295,103,225 is 6422325525.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 427, 649, 295, 103, 225?
Answer: LCM of 427, 649, 295, 103, 225 is 6422325525.
2. How to calculate the LCM of 427, 649, 295, 103, 225?
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 427, 649, 295, 103, 225.
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}.