Find the LCM of 647, 942, 336, 369, 798 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 647, 942, 336, 369, 798. So, keep reading to learn more.
Given numbers are 647,942,336,369,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,942,336,369,798 is 79763081328.
Find LCM of 647,942,336,369,798 with Prime Factorization
2 | 647, 942, 336, 369, 798 |
3 | 647, 471, 168, 369, 399 |
7 | 647, 157, 56, 123, 133 |
647, 157, 8, 123, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 647 x 157 x 8 x 123 x 19 = 79763081328
Therefore, the lowest common multiple of 647,942,336,369,798 is 79763081328.
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.
647 x 942 x 336 x 369 x 798 = 60300889483968
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.
647 : 1, 647
942 : 1, 2, 3, 6, 157, 314, 471, 942
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
369 : 1, 3, 9, 41, 123, 369
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,942,336,369,798, is 1.
Now, the common factors can be found like this.
647:647
942:2x 3x 157
336:2x 2x 2x 2x 3x 7
369:3x 3x 41
798:2x 3x 7x 19
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 3x 3x 7 = 756
Therefore, the value for common factors is 756.
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 = 60300889483968/(1x756)
LCM = 60300889483968/756
LCM = 79763081328
Thus, we can understand that the LCM of 647,942,336,369,798 is 79763081328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 647, 942, 336, 369, 798?
Answer: LCM of 647, 942, 336, 369, 798 is 79763081328.
2. How to calculate the LCM of 647, 942, 336, 369, 798?
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 647, 942, 336, 369, 798.
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}.