Find the LCM of 478, 722, 418, 452 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, 722, 418, 452. So, keep reading to learn more.
Given numbers are 478,722,418,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,722,418,452 is 428979188.
Find LCM of 478,722,418,452 with Prime Factorization
2 | 478, 722, 418, 452 |
19 | 239, 361, 209, 226 |
239, 19, 11, 226 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 239 x 19 x 11 x 226 = 428979188
Therefore, the lowest common multiple of 478,722,418,452 is 428979188.
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 722 x 418 x 452 = 65204836576
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
722 : 1, 2, 19, 38, 361, 722
418 : 1, 2, 11, 19, 22, 38, 209, 418
452 : 1, 2, 4, 113, 226, 452
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,722,418,452, is 2.
Now, the common factors can be found like this.
478:2x 239
722:2x 19x 19
418:2x 11x 19
452:2x 2x 113
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 19 = 76
Therefore, the value for common factors is 76.
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 = 65204836576/(2x76)
LCM = 65204836576/152
LCM = 428979188
Thus, we can understand that the LCM of 478,722,418,452 is 428979188.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 722, 418, 452?
Answer: LCM of 478, 722, 418, 452 is 428979188.
2. How to calculate the LCM of 478, 722, 418, 452?
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, 722, 418, 452.
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}.