Find the LCM of 989, 667, 144, 565 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, 667, 144, 565. So, keep reading to learn more.
Given numbers are 989,667,144,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,667,144,565 is 2333486160.
Find LCM of 989,667,144,565 with Prime Factorization
23 | 989, 667, 144, 565 |
43, 29, 144, 565 |
Multiply the prime numbers at the bottom and the left side.
23 x 43 x 29 x 144 x 565 = 2333486160
Therefore, the lowest common multiple of 989,667,144,565 is 2333486160.
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 667 x 144 x 565 = 53670181680
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
667 : 1, 23, 29, 667
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,667,144,565, is 1.
Now, the common factors can be found like this.
989:23x 43
667:23x 29
144:2x 2x 2x 2x 3x 3
565:5x 113
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 = 53670181680/(1x23)
LCM = 53670181680/23
LCM = 2333486160
Thus, we can understand that the LCM of 989,667,144,565 is 2333486160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 667, 144, 565?
Answer: LCM of 989, 667, 144, 565 is 2333486160.
2. How to calculate the LCM of 989, 667, 144, 565?
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, 667, 144, 565.
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}.