Find the LCM of 763, 418, 738, 989, 728 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 763, 418, 738, 989, 728. So, keep reading to learn more.
Given numbers are 763,418,738,989,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,418,738,989,728 is 6052388830488.
Find LCM of 763,418,738,989,728 with Prime Factorization
2 | 763, 418, 738, 989, 728 |
7 | 763, 209, 369, 989, 364 |
109, 209, 369, 989, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 109 x 209 x 369 x 989 x 52 = 6052388830488
Therefore, the lowest common multiple of 763,418,738,989,728 is 6052388830488.
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.
763 x 418 x 738 x 989 x 728 = 169466887253664
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.
763 : 1, 7, 109, 763
418 : 1, 2, 11, 19, 22, 38, 209, 418
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
989 : 1, 23, 43, 989
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,418,738,989,728, is 1.
Now, the common factors can be found like this.
763:7x 109
418:2x 11x 19
738:2x 3x 3x 41
989:23x 43
728:2x 2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7 = 28
Therefore, the value for common factors is 28.
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 = 169466887253664/(1x28)
LCM = 169466887253664/28
LCM = 6052388830488
Thus, we can understand that the LCM of 763,418,738,989,728 is 6052388830488.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 763, 418, 738, 989, 728?
Answer: LCM of 763, 418, 738, 989, 728 is 6052388830488.
2. How to calculate the LCM of 763, 418, 738, 989, 728?
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 763, 418, 738, 989, 728.
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}.