Find the LCM of 445, 917, 524, 483 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 445, 917, 524, 483. So, keep reading to learn more.
Given numbers are 445,917,524,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,917,524,483 is 112625940.
Find LCM of 445,917,524,483 with Prime Factorization
7 | 445, 917, 524, 483 |
131 | 445, 131, 524, 69 |
445, 1, 4, 69 |
Multiply the prime numbers at the bottom and the left side.
7 x 131 x 445 x 1 x 4 x 69 = 112625940
Therefore, the lowest common multiple of 445,917,524,483 is 112625940.
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.
445 x 917 x 524 x 483 = 103277986980
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.
445 : 1, 5, 89, 445
917 : 1, 7, 131, 917
524 : 1, 2, 4, 131, 262, 524
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,917,524,483, is 1.
Now, the common factors can be found like this.
445:5x 89
917:7x 131
524:2x 2x 131
483:3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 131 = 917
Therefore, the value for common factors is 917.
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 = 103277986980/(1x917)
LCM = 103277986980/917
LCM = 112625940
Thus, we can understand that the LCM of 445,917,524,483 is 112625940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 445, 917, 524, 483?
Answer: LCM of 445, 917, 524, 483 is 112625940.
2. How to calculate the LCM of 445, 917, 524, 483?
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 445, 917, 524, 483.
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}.