Find the LCM of 437, 970, 858, 697, 829 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, 970, 858, 697, 829. So, keep reading to learn more.
Given numbers are 437,970,858,697,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,970,858,697,829 is 105074606452530.
Find LCM of 437,970,858,697,829 with Prime Factorization
2 | 437, 970, 858, 697, 829 |
437, 485, 429, 697, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 437 x 485 x 429 x 697 x 829 = 105074606452530
Therefore, the lowest common multiple of 437,970,858,697,829 is 105074606452530.
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 970 x 858 x 697 x 829 = 210149212905060
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
970 : 1, 2, 5, 10, 97, 194, 485, 970
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
697 : 1, 17, 41, 697
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,970,858,697,829, is 1.
Now, the common factors can be found like this.
437:19x 23
970:2x 5x 97
858:2x 3x 11x 13
697:17x 41
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 210149212905060/(1x2)
LCM = 210149212905060/2
LCM = 105074606452530
Thus, we can understand that the LCM of 437,970,858,697,829 is 105074606452530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 970, 858, 697, 829?
Answer: LCM of 437, 970, 858, 697, 829 is 105074606452530.
2. How to calculate the LCM of 437, 970, 858, 697, 829?
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, 970, 858, 697, 829.
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}.