Find the LCM of 741, 953, 790, 208, 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 741, 953, 790, 208, 452. So, keep reading to learn more.
Given numbers are 741,953,790,208,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,953,790,208,452 is 504320509680.
Find LCM of 741,953,790,208,452 with Prime Factorization
2 | 741, 953, 790, 208, 452 |
2 | 741, 953, 395, 104, 226 |
13 | 741, 953, 395, 52, 113 |
57, 953, 395, 4, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 57 x 953 x 395 x 4 x 113 = 504320509680
Therefore, the lowest common multiple of 741,953,790,208,452 is 504320509680.
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.
741 x 953 x 790 x 208 x 452 = 52449333006720
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
953 : 1, 953
790 : 1, 2, 5, 10, 79, 158, 395, 790
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,953,790,208,452, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
953:953
790:2x 5x 79
208:2x 2x 2x 2x 13
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 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 = 52449333006720/(1x104)
LCM = 52449333006720/104
LCM = 504320509680
Thus, we can understand that the LCM of 741,953,790,208,452 is 504320509680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 741, 953, 790, 208, 452?
Answer: LCM of 741, 953, 790, 208, 452 is 504320509680.
2. How to calculate the LCM of 741, 953, 790, 208, 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 741, 953, 790, 208, 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}.