Find the LCM of 461, 412, 915, 681, 681 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 461, 412, 915, 681, 681. So, keep reading to learn more.
Given numbers are 461,412,915,681,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,412,915,681,681 is 39449826060.
Find LCM of 461,412,915,681,681 with Prime Factorization
3 | 461, 412, 915, 681, 681 |
227 | 461, 412, 305, 227, 227 |
461, 412, 305, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 227 x 461 x 412 x 305 x 1 x 1 = 39449826060
Therefore, the lowest common multiple of 461,412,915,681,681 is 39449826060.
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.
461 x 412 x 915 x 681 x 681 = 80595994640580
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.
461 : 1, 461
412 : 1, 2, 4, 103, 206, 412
915 : 1, 3, 5, 15, 61, 183, 305, 915
681 : 1, 3, 227, 681
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,412,915,681,681, is 1.
Now, the common factors can be found like this.
461:461
412:2x 2x 103
915:3x 5x 61
681:3x 227
681:3x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 227 = 2043
Therefore, the value for common factors is 2043.
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 = 80595994640580/(1x2043)
LCM = 80595994640580/2043
LCM = 39449826060
Thus, we can understand that the LCM of 461,412,915,681,681 is 39449826060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 461, 412, 915, 681, 681?
Answer: LCM of 461, 412, 915, 681, 681 is 39449826060.
2. How to calculate the LCM of 461, 412, 915, 681, 681?
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 461, 412, 915, 681, 681.
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}.