Find the LCM of 144, 789, 510, 430, 867 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 144, 789, 510, 430, 867. So, keep reading to learn more.
Given numbers are 144,789,510,430,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,789,510,430,867 is 2353176720.
Find LCM of 144,789,510,430,867 with Prime Factorization
2 | 144, 789, 510, 430, 867 |
3 | 72, 789, 255, 215, 867 |
5 | 24, 263, 85, 215, 289 |
17 | 24, 263, 17, 43, 289 |
24, 263, 1, 43, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 24 x 263 x 1 x 43 x 17 = 2353176720
Therefore, the lowest common multiple of 144,789,510,430,867 is 2353176720.
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.
144 x 789 x 510 x 430 x 867 = 21602162289600
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
789 : 1, 3, 263, 789
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
430 : 1, 2, 5, 10, 43, 86, 215, 430
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,789,510,430,867, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
789:3x 263
510:2x 3x 5x 17
430:2x 5x 43
867:3x 17x 17
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 3x 3x 3x 5x 17 = 9180
Therefore, the value for common factors is 9180.
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 = 21602162289600/(1x9180)
LCM = 21602162289600/9180
LCM = 2353176720
Thus, we can understand that the LCM of 144,789,510,430,867 is 2353176720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 144, 789, 510, 430, 867?
Answer: LCM of 144, 789, 510, 430, 867 is 2353176720.
2. How to calculate the LCM of 144, 789, 510, 430, 867?
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 144, 789, 510, 430, 867.
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}.