LCM of 144, 528, 600, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 528, 600, 857 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, 528, 600, 857. So, keep reading to learn more.
Given numbers are 144,528,600,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,528,600,857 is 33937200.
Find LCM of 144,528,600,857 with Prime Factorization
| 2 | 144, 528, 600, 857 |
| 2 | 72, 264, 300, 857 |
| 2 | 36, 132, 150, 857 |
| 2 | 18, 66, 75, 857 |
| 3 | 9, 33, 75, 857 |
| 3, 11, 25, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 11 x 25 x 857 = 33937200
Therefore, the lowest common multiple of 144,528,600,857 is 33937200.
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 528 x 600 x 857 = 39095654400
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
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,528,600,857, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
528:2x 2x 2x 2x 3x 11
600:2x 2x 2x 3x 5x 5
857:857
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 2x 2x 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 39095654400/(1x1152)
LCM = 39095654400/1152
LCM = 33937200
Thus, we can understand that the LCM of 144,528,600,857 is 33937200.
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FAQs on LCM of 144, 528, 600, 857
1. What is the LCM of 144, 528, 600, 857?
Answer: LCM of 144, 528, 600, 857 is 33937200.
2. How to calculate the LCM of 144, 528, 600, 857?
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, 528, 600, 857.
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}.