Find the LCM of 211, 507, 968, 520, 127 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 211, 507, 968, 520, 127. So, keep reading to learn more.
Given numbers are 211,507,968,520,127
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,507,968,520,127 is 65756622360.
Find LCM of 211,507,968,520,127 with Prime Factorization
2 | 211, 507, 968, 520, 127 |
2 | 211, 507, 484, 260, 127 |
2 | 211, 507, 242, 130, 127 |
13 | 211, 507, 121, 65, 127 |
211, 39, 121, 5, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 211 x 39 x 121 x 5 x 127 = 65756622360
Therefore, the lowest common multiple of 211,507,968,520,127 is 65756622360.
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.
211 x 507 x 968 x 520 x 127 = 6838688725440
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.
211 : 1, 211
507 : 1, 3, 13, 39, 169, 507
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
127 : 1, 127
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,507,968,520,127, is 1.
Now, the common factors can be found like this.
211:211
507:3x 13x 13
968:2x 2x 2x 11x 11
520:2x 2x 2x 5x 13
127:127
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 13 = 104
Therefore, the value for common factors is 104.
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 = 6838688725440/(1x104)
LCM = 6838688725440/104
LCM = 65756622360
Thus, we can understand that the LCM of 211,507,968,520,127 is 65756622360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 507, 968, 520, 127?
Answer: LCM of 211, 507, 968, 520, 127 is 65756622360.
2. How to calculate the LCM of 211, 507, 968, 520, 127?
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 211, 507, 968, 520, 127.
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}.