Find the LCM of 738, 278, 646, 417 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 738, 278, 646, 417. So, keep reading to learn more.
Given numbers are 738,278,646,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,278,646,417 is 33133986.
Find LCM of 738,278,646,417 with Prime Factorization
2 | 738, 278, 646, 417 |
3 | 369, 139, 323, 417 |
139 | 123, 139, 323, 139 |
123, 1, 323, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 123 x 1 x 323 x 1 = 33133986
Therefore, the lowest common multiple of 738,278,646,417 is 33133986.
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.
738 x 278 x 646 x 417 = 55267488648
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
278 : 1, 2, 139, 278
646 : 1, 2, 17, 19, 34, 38, 323, 646
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,278,646,417, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
278:2x 139
646:2x 17x 19
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 139 = 1668
Therefore, the value for common factors is 1668.
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 = 55267488648/(1x1668)
LCM = 55267488648/1668
LCM = 33133986
Thus, we can understand that the LCM of 738,278,646,417 is 33133986.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 738, 278, 646, 417?
Answer: LCM of 738, 278, 646, 417 is 33133986.
2. How to calculate the LCM of 738, 278, 646, 417?
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 738, 278, 646, 417.
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}.