Find the LCM of 627, 596, 697, 652, 506 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 627, 596, 697, 652, 506. So, keep reading to learn more.
Given numbers are 627,596,697,652,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,596,697,652,506 is 976477001676.
Find LCM of 627,596,697,652,506 with Prime Factorization
2 | 627, 596, 697, 652, 506 |
2 | 627, 298, 697, 326, 253 |
11 | 627, 149, 697, 163, 253 |
57, 149, 697, 163, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 57 x 149 x 697 x 163 x 23 = 976477001676
Therefore, the lowest common multiple of 627,596,697,652,506 is 976477001676.
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.
627 x 596 x 697 x 652 x 506 = 85929976147488
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
596 : 1, 2, 4, 149, 298, 596
697 : 1, 17, 41, 697
652 : 1, 2, 4, 163, 326, 652
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,596,697,652,506, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
596:2x 2x 149
697:17x 41
652:2x 2x 163
506:2x 11x 23
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 11 = 88
Therefore, the value for common factors is 88.
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 = 85929976147488/(1x88)
LCM = 85929976147488/88
LCM = 976477001676
Thus, we can understand that the LCM of 627,596,697,652,506 is 976477001676.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 596, 697, 652, 506?
Answer: LCM of 627, 596, 697, 652, 506 is 976477001676.
2. How to calculate the LCM of 627, 596, 697, 652, 506?
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 627, 596, 697, 652, 506.
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}.