Find the LCM of 605, 767, 989, 682 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 605, 767, 989, 682. So, keep reading to learn more.
Given numbers are 605,767,989,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,767,989,682 is 28453698130.
Find LCM of 605,767,989,682 with Prime Factorization
11 | 605, 767, 989, 682 |
55, 767, 989, 62 |
Multiply the prime numbers at the bottom and the left side.
11 x 55 x 767 x 989 x 62 = 28453698130
Therefore, the lowest common multiple of 605,767,989,682 is 28453698130.
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.
605 x 767 x 989 x 682 = 312990679430
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.
605 : 1, 5, 11, 55, 121, 605
767 : 1, 13, 59, 767
989 : 1, 23, 43, 989
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,767,989,682, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
767:13x 59
989:23x 43
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 312990679430/(1x11)
LCM = 312990679430/11
LCM = 28453698130
Thus, we can understand that the LCM of 605,767,989,682 is 28453698130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 767, 989, 682?
Answer: LCM of 605, 767, 989, 682 is 28453698130.
2. How to calculate the LCM of 605, 767, 989, 682?
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 605, 767, 989, 682.
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}.