Find the LCM of 226, 404, 532, 901, 705 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 226, 404, 532, 901, 705. So, keep reading to learn more.
Given numbers are 226,404,532,901,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,404,532,901,705 is 3856784361780.
Find LCM of 226,404,532,901,705 with Prime Factorization
2 | 226, 404, 532, 901, 705 |
2 | 113, 202, 266, 901, 705 |
113, 101, 133, 901, 705 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 113 x 101 x 133 x 901 x 705 = 3856784361780
Therefore, the lowest common multiple of 226,404,532,901,705 is 3856784361780.
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.
226 x 404 x 532 x 901 x 705 = 30854274894240
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.
226 : 1, 2, 113, 226
404 : 1, 2, 4, 101, 202, 404
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
901 : 1, 17, 53, 901
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,404,532,901,705, is 1.
Now, the common factors can be found like this.
226:2x 113
404:2x 2x 101
532:2x 2x 7x 19
901:17x 53
705:3x 5x 47
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 2 = 8
Therefore, the value for common factors is 8.
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 = 30854274894240/(1x8)
LCM = 30854274894240/8
LCM = 3856784361780
Thus, we can understand that the LCM of 226,404,532,901,705 is 3856784361780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 226, 404, 532, 901, 705?
Answer: LCM of 226, 404, 532, 901, 705 is 3856784361780.
2. How to calculate the LCM of 226, 404, 532, 901, 705?
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 226, 404, 532, 901, 705.
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}.