Find the LCM of 689, 477, 414, 989 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 689, 477, 414, 989. So, keep reading to learn more.
Given numbers are 689,477,414,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,477,414,989 is 12265578.
Find LCM of 689,477,414,989 with Prime Factorization
3 | 689, 477, 414, 989 |
3 | 689, 159, 138, 989 |
23 | 689, 53, 46, 989 |
53 | 689, 53, 2, 43 |
13, 1, 2, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 53 x 13 x 1 x 2 x 43 = 12265578
Therefore, the lowest common multiple of 689,477,414,989 is 12265578.
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.
689 x 477 x 414 x 989 = 134565656238
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.
689 : 1, 13, 53, 689
477 : 1, 3, 9, 53, 159, 477
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,477,414,989, is 1.
Now, the common factors can be found like this.
689:13x 53
477:3x 3x 53
414:2x 3x 3x 23
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23x 53 = 10971
Therefore, the value for common factors is 10971.
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 = 134565656238/(1x10971)
LCM = 134565656238/10971
LCM = 12265578
Thus, we can understand that the LCM of 689,477,414,989 is 12265578.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 477, 414, 989?
Answer: LCM of 689, 477, 414, 989 is 12265578.
2. How to calculate the LCM of 689, 477, 414, 989?
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 689, 477, 414, 989.
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}.