Find the LCM of 989, 495, 667, 412 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 989, 495, 667, 412. So, keep reading to learn more.
Given numbers are 989,495,667,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,495,667,412 is 5849203140.
Find LCM of 989,495,667,412 with Prime Factorization
23 | 989, 495, 667, 412 |
43, 495, 29, 412 |
Multiply the prime numbers at the bottom and the left side.
23 x 43 x 495 x 29 x 412 = 5849203140
Therefore, the lowest common multiple of 989,495,667,412 is 5849203140.
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.
989 x 495 x 667 x 412 = 134531672220
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.
989 : 1, 23, 43, 989
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
667 : 1, 23, 29, 667
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,495,667,412, is 1.
Now, the common factors can be found like this.
989:23x 43
495:3x 3x 5x 11
667:23x 29
412:2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 134531672220/(1x23)
LCM = 134531672220/23
LCM = 5849203140
Thus, we can understand that the LCM of 989,495,667,412 is 5849203140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 495, 667, 412?
Answer: LCM of 989, 495, 667, 412 is 5849203140.
2. How to calculate the LCM of 989, 495, 667, 412?
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 989, 495, 667, 412.
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}.