Find the LCM of 468, 143, 149, 649 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 468, 143, 149, 649. So, keep reading to learn more.
Given numbers are 468,143,149,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,143,149,649 is 45256068.
Find LCM of 468,143,149,649 with Prime Factorization
11 | 468, 143, 149, 649 |
13 | 468, 13, 149, 59 |
36, 1, 149, 59 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 36 x 1 x 149 x 59 = 45256068
Therefore, the lowest common multiple of 468,143,149,649 is 45256068.
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.
468 x 143 x 149 x 649 = 6471617724
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
143 : 1, 11, 13, 143
149 : 1, 149
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,143,149,649, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
143:11x 13
149:149
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 6471617724/(1x143)
LCM = 6471617724/143
LCM = 45256068
Thus, we can understand that the LCM of 468,143,149,649 is 45256068.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 468, 143, 149, 649?
Answer: LCM of 468, 143, 149, 649 is 45256068.
2. How to calculate the LCM of 468, 143, 149, 649?
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 468, 143, 149, 649.
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}.