Find the LCM of 226, 266, 264, 594, 638 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, 266, 264, 594, 638. So, keep reading to learn more.
Given numbers are 226,266,264,594,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,266,264,594,638 is 1035558216.
Find LCM of 226,266,264,594,638 with Prime Factorization
2 | 226, 266, 264, 594, 638 |
3 | 113, 133, 132, 297, 319 |
11 | 113, 133, 44, 99, 319 |
113, 133, 4, 9, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 113 x 133 x 4 x 9 x 29 = 1035558216
Therefore, the lowest common multiple of 226,266,264,594,638 is 1035558216.
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 266 x 264 x 594 x 638 = 6014522118528
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
266 : 1, 2, 7, 14, 19, 38, 133, 266
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
638 : 1, 2, 11, 22, 29, 58, 319, 638
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,266,264,594,638, is 2.
Now, the common factors can be found like this.
226:2x 113
266:2x 7x 19
264:2x 2x 2x 3x 11
594:2x 3x 3x 3x 11
638:2x 11x 29
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 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 6014522118528/(2x2904)
LCM = 6014522118528/5808
LCM = 1035558216
Thus, we can understand that the LCM of 226,266,264,594,638 is 1035558216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 226, 266, 264, 594, 638?
Answer: LCM of 226, 266, 264, 594, 638 is 1035558216.
2. How to calculate the LCM of 226, 266, 264, 594, 638?
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, 266, 264, 594, 638.
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}.