LCM of 150, 693, 239, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 150, 693, 239, 784 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 150, 693, 239, 784. So, keep reading to learn more.
Given numbers are 150,693,239,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 150,693,239,784 is 463755600.
Find LCM of 150,693,239,784 with Prime Factorization
| 2 | 150, 693, 239, 784 |
| 3 | 75, 693, 239, 392 |
| 7 | 25, 231, 239, 392 |
| 25, 33, 239, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 25 x 33 x 239 x 56 = 463755600
Therefore, the lowest common multiple of 150,693,239,784 is 463755600.
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.
150 x 693 x 239 x 784 = 19477735200
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.
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
239 : 1, 239
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,693,239,784, is 1.
Now, the common factors can be found like this.
150:2x 3x 5x 5
693:3x 3x 7x 11
239:239
784:2x 2x 2x 2x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 19477735200/(1x42)
LCM = 19477735200/42
LCM = 463755600
Thus, we can understand that the LCM of 150,693,239,784 is 463755600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 150, 693, 239, 784
1. What is the LCM of 150, 693, 239, 784?
Answer: LCM of 150, 693, 239, 784 is 463755600.
2. How to calculate the LCM of 150, 693, 239, 784?
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 150, 693, 239, 784.
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}.