Find the LCM of 979, 600, 817, 321, 437 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 979, 600, 817, 321, 437. So, keep reading to learn more.
Given numbers are 979,600,817,321,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,600,817,321,437 is 1181048173800.
Find LCM of 979,600,817,321,437 with Prime Factorization
3 | 979, 600, 817, 321, 437 |
19 | 979, 200, 817, 107, 437 |
979, 200, 43, 107, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 979 x 200 x 43 x 107 x 23 = 1181048173800
Therefore, the lowest common multiple of 979,600,817,321,437 is 1181048173800.
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.
979 x 600 x 817 x 321 x 437 = 67319745906600
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.
979 : 1, 11, 89, 979
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
817 : 1, 19, 43, 817
321 : 1, 3, 107, 321
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,600,817,321,437, is 1.
Now, the common factors can be found like this.
979:11x 89
600:2x 2x 2x 3x 5x 5
817:19x 43
321:3x 107
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19 = 57
Therefore, the value for common factors is 57.
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 = 67319745906600/(1x57)
LCM = 67319745906600/57
LCM = 1181048173800
Thus, we can understand that the LCM of 979,600,817,321,437 is 1181048173800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 600, 817, 321, 437?
Answer: LCM of 979, 600, 817, 321, 437 is 1181048173800.
2. How to calculate the LCM of 979, 600, 817, 321, 437?
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 979, 600, 817, 321, 437.
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}.