Find the LCM of 336, 978, 388, 497, 776 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 336, 978, 388, 497, 776. So, keep reading to learn more.
Given numbers are 336,978,388,497,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,978,388,497,776 is 377187216.
Find LCM of 336,978,388,497,776 with Prime Factorization
2 | 336, 978, 388, 497, 776 |
2 | 168, 489, 194, 497, 388 |
2 | 84, 489, 97, 497, 194 |
3 | 42, 489, 97, 497, 97 |
7 | 14, 163, 97, 497, 97 |
97 | 2, 163, 97, 71, 97 |
2, 163, 1, 71, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 97 x 2 x 163 x 1 x 71 x 1 = 377187216
Therefore, the lowest common multiple of 336,978,388,497,776 is 377187216.
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.
336 x 978 x 388 x 497 x 776 = 49173142975488
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
978 : 1, 2, 3, 6, 163, 326, 489, 978
388 : 1, 2, 4, 97, 194, 388
497 : 1, 7, 71, 497
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,978,388,497,776, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
978:2x 3x 163
388:2x 2x 97
497:7x 71
776:2x 2x 2x 97
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 2x 2x 2x 2x 3x 7x 97 = 130368
Therefore, the value for common factors is 130368.
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 = 49173142975488/(1x130368)
LCM = 49173142975488/130368
LCM = 377187216
Thus, we can understand that the LCM of 336,978,388,497,776 is 377187216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 336, 978, 388, 497, 776?
Answer: LCM of 336, 978, 388, 497, 776 is 377187216.
2. How to calculate the LCM of 336, 978, 388, 497, 776?
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 336, 978, 388, 497, 776.
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}.