Find the LCM of 935, 826, 300, 493, 635 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 935, 826, 300, 493, 635. So, keep reading to learn more.
Given numbers are 935,826,300,493,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,826,300,493,635 is 85332531900.
Find LCM of 935,826,300,493,635 with Prime Factorization
2 | 935, 826, 300, 493, 635 |
5 | 935, 413, 150, 493, 635 |
17 | 187, 413, 30, 493, 127 |
11, 413, 30, 29, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 11 x 413 x 30 x 29 x 127 = 85332531900
Therefore, the lowest common multiple of 935,826,300,493,635 is 85332531900.
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.
935 x 826 x 300 x 493 x 635 = 72532652115000
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
826 : 1, 2, 7, 14, 59, 118, 413, 826
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
493 : 1, 17, 29, 493
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,826,300,493,635, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
826:2x 7x 59
300:2x 2x 3x 5x 5
493:17x 29
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 17 = 850
Therefore, the value for common factors is 850.
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 = 72532652115000/(1x850)
LCM = 72532652115000/850
LCM = 85332531900
Thus, we can understand that the LCM of 935,826,300,493,635 is 85332531900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 935, 826, 300, 493, 635?
Answer: LCM of 935, 826, 300, 493, 635 is 85332531900.
2. How to calculate the LCM of 935, 826, 300, 493, 635?
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 935, 826, 300, 493, 635.
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}.