Find the LCM of 497, 671, 403, 459, 444 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 497, 671, 403, 459, 444. So, keep reading to learn more.
Given numbers are 497,671,403,459,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,671,403,459,444 is 9129738870252.
Find LCM of 497,671,403,459,444 with Prime Factorization
3 | 497, 671, 403, 459, 444 |
497, 671, 403, 153, 148 |
Multiply the prime numbers at the bottom and the left side.
3 x 497 x 671 x 403 x 153 x 148 = 9129738870252
Therefore, the lowest common multiple of 497,671,403,459,444 is 9129738870252.
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.
497 x 671 x 403 x 459 x 444 = 27389216610756
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.
497 : 1, 7, 71, 497
671 : 1, 11, 61, 671
403 : 1, 13, 31, 403
459 : 1, 3, 9, 17, 27, 51, 153, 459
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,671,403,459,444, is 1.
Now, the common factors can be found like this.
497:7x 71
671:11x 61
403:13x 31
459:3x 3x 3x 17
444:2x 2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 27389216610756/(1x3)
LCM = 27389216610756/3
LCM = 9129738870252
Thus, we can understand that the LCM of 497,671,403,459,444 is 9129738870252.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 671, 403, 459, 444?
Answer: LCM of 497, 671, 403, 459, 444 is 9129738870252.
2. How to calculate the LCM of 497, 671, 403, 459, 444?
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 497, 671, 403, 459, 444.
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}.