Find the LCM of 697, 726, 152, 667, 128 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 697, 726, 152, 667, 128. So, keep reading to learn more.
Given numbers are 697,726,152,667,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,726,152,667,128 is 410420275584.
Find LCM of 697,726,152,667,128 with Prime Factorization
2 | 697, 726, 152, 667, 128 |
2 | 697, 363, 76, 667, 64 |
2 | 697, 363, 38, 667, 32 |
697, 363, 19, 667, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 697 x 363 x 19 x 667 x 16 = 410420275584
Therefore, the lowest common multiple of 697,726,152,667,128 is 410420275584.
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.
697 x 726 x 152 x 667 x 128 = 6566724409344
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.
697 : 1, 17, 41, 697
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
152 : 1, 2, 4, 8, 19, 38, 76, 152
667 : 1, 23, 29, 667
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,726,152,667,128, is 1.
Now, the common factors can be found like this.
697:17x 41
726:2x 3x 11x 11
152:2x 2x 2x 19
667:23x 29
128:2x 2x 2x 2x 2x 2x 2
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 2 = 16
Therefore, the value for common factors is 16.
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 = 6566724409344/(1x16)
LCM = 6566724409344/16
LCM = 410420275584
Thus, we can understand that the LCM of 697,726,152,667,128 is 410420275584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 726, 152, 667, 128?
Answer: LCM of 697, 726, 152, 667, 128 is 410420275584.
2. How to calculate the LCM of 697, 726, 152, 667, 128?
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 697, 726, 152, 667, 128.
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}.