LCM of 768, 149, 403, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 149, 403, 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 768, 149, 403, 784. So, keep reading to learn more.
Given numbers are 768,149,403,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,149,403,784 is 2259688704.
Find LCM of 768,149,403,784 with Prime Factorization
| 2 | 768, 149, 403, 784 |
| 2 | 384, 149, 403, 392 |
| 2 | 192, 149, 403, 196 |
| 2 | 96, 149, 403, 98 |
| 48, 149, 403, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 48 x 149 x 403 x 49 = 2259688704
Therefore, the lowest common multiple of 768,149,403,784 is 2259688704.
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.
768 x 149 x 403 x 784 = 36155019264
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
149 : 1, 149
403 : 1, 13, 31, 403
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 768,149,403,784, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
149:149
403:13x 31
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 2 = 16
Therefore, the value for common factors is 16.
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 = 36155019264/(1x16)
LCM = 36155019264/16
LCM = 2259688704
Thus, we can understand that the LCM of 768,149,403,784 is 2259688704.
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FAQs on LCM of 768, 149, 403, 784
1. What is the LCM of 768, 149, 403, 784?
Answer: LCM of 768, 149, 403, 784 is 2259688704.
2. How to calculate the LCM of 768, 149, 403, 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 768, 149, 403, 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}.