LCM of 269, 144, 507, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 144, 507, 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 269, 144, 507, 784. So, keep reading to learn more.
Given numbers are 269,144,507,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,144,507,784 is 320772816.
Find LCM of 269,144,507,784 with Prime Factorization
| 2 | 269, 144, 507, 784 |
| 2 | 269, 72, 507, 392 |
| 2 | 269, 36, 507, 196 |
| 2 | 269, 18, 507, 98 |
| 3 | 269, 9, 507, 49 |
| 269, 3, 169, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 269 x 3 x 169 x 49 = 320772816
Therefore, the lowest common multiple of 269,144,507,784 is 320772816.
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.
269 x 144 x 507 x 784 = 15397095168
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.
269 : 1, 269
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
507 : 1, 3, 13, 39, 169, 507
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 269,144,507,784, is 1.
Now, the common factors can be found like this.
269:269
144:2x 2x 2x 2x 3x 3
507:3x 13x 13
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 2x 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 15397095168/(1x48)
LCM = 15397095168/48
LCM = 320772816
Thus, we can understand that the LCM of 269,144,507,784 is 320772816.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 269, 144, 507, 784
1. What is the LCM of 269, 144, 507, 784?
Answer: LCM of 269, 144, 507, 784 is 320772816.
2. How to calculate the LCM of 269, 144, 507, 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 269, 144, 507, 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}.