Find the LCM of 478, 935, 418, 149 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 478, 935, 418, 149. So, keep reading to learn more.
Given numbers are 478,935,418,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,935,418,149 is 1265258830.
Find LCM of 478,935,418,149 with Prime Factorization
2 | 478, 935, 418, 149 |
11 | 239, 935, 209, 149 |
239, 85, 19, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 239 x 85 x 19 x 149 = 1265258830
Therefore, the lowest common multiple of 478,935,418,149 is 1265258830.
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.
478 x 935 x 418 x 149 = 27835694260
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.
478 : 1, 2, 239, 478
935 : 1, 5, 11, 17, 55, 85, 187, 935
418 : 1, 2, 11, 19, 22, 38, 209, 418
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,935,418,149, is 1.
Now, the common factors can be found like this.
478:2x 239
935:5x 11x 17
418:2x 11x 19
149:149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 27835694260/(1x22)
LCM = 27835694260/22
LCM = 1265258830
Thus, we can understand that the LCM of 478,935,418,149 is 1265258830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 935, 418, 149?
Answer: LCM of 478, 935, 418, 149 is 1265258830.
2. How to calculate the LCM of 478, 935, 418, 149?
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 478, 935, 418, 149.
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}.