Find the LCM of 388, 776, 708, 450, 568 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 388, 776, 708, 450, 568. So, keep reading to learn more.
Given numbers are 388,776,708,450,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,776,708,450,568 is 731399400.
Find LCM of 388,776,708,450,568 with Prime Factorization
2 | 388, 776, 708, 450, 568 |
2 | 194, 388, 354, 225, 284 |
2 | 97, 194, 177, 225, 142 |
3 | 97, 97, 177, 225, 71 |
97 | 97, 97, 59, 75, 71 |
1, 1, 59, 75, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 97 x 1 x 1 x 59 x 75 x 71 = 731399400
Therefore, the lowest common multiple of 388,776,708,450,568 is 731399400.
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.
388 x 776 x 708 x 450 x 568 = 54486329702400
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.
388 : 1, 2, 4, 97, 194, 388
776 : 1, 2, 4, 8, 97, 194, 388, 776
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
568 : 1, 2, 4, 8, 71, 142, 284, 568
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,776,708,450,568, is 2.
Now, the common factors can be found like this.
388:2x 2x 97
776:2x 2x 2x 97
708:2x 2x 3x 59
450:2x 3x 3x 5x 5
568:2x 2x 2x 71
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 2x 3x 97 = 37248
Therefore, the value for common factors is 37248.
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 = 54486329702400/(2x37248)
LCM = 54486329702400/74496
LCM = 731399400
Thus, we can understand that the LCM of 388,776,708,450,568 is 731399400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 388, 776, 708, 450, 568?
Answer: LCM of 388, 776, 708, 450, 568 is 731399400.
2. How to calculate the LCM of 388, 776, 708, 450, 568?
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 388, 776, 708, 450, 568.
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}.