Find the LCM of 437, 849, 348, 529, 677 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 437, 849, 348, 529, 677. So, keep reading to learn more.
Given numbers are 437,849,348,529,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,849,348,529,677 is 670137037068.
Find LCM of 437,849,348,529,677 with Prime Factorization
3 | 437, 849, 348, 529, 677 |
23 | 437, 283, 116, 529, 677 |
19, 283, 116, 23, 677 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 19 x 283 x 116 x 23 x 677 = 670137037068
Therefore, the lowest common multiple of 437,849,348,529,677 is 670137037068.
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.
437 x 849 x 348 x 529 x 677 = 46239455557692
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.
437 : 1, 19, 23, 437
849 : 1, 3, 283, 849
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
529 : 1, 23, 529
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,849,348,529,677, is 1.
Now, the common factors can be found like this.
437:19x 23
849:3x 283
348:2x 2x 3x 29
529:23x 23
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23 = 69
Therefore, the value for common factors is 69.
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 = 46239455557692/(1x69)
LCM = 46239455557692/69
LCM = 670137037068
Thus, we can understand that the LCM of 437,849,348,529,677 is 670137037068.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 849, 348, 529, 677?
Answer: LCM of 437, 849, 348, 529, 677 is 670137037068.
2. How to calculate the LCM of 437, 849, 348, 529, 677?
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 437, 849, 348, 529, 677.
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}.