LCM of 109, 784, 377, 736, 256
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 109, 784, 377, 736, 256 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 109, 784, 377, 736, 256. So, keep reading to learn more.
Given numbers are 109,784,377,736,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,784,377,736,256 is 11855823616.
Find LCM of 109,784,377,736,256 with Prime Factorization
| 2 | 109, 784, 377, 736, 256 |
| 2 | 109, 392, 377, 368, 128 |
| 2 | 109, 196, 377, 184, 64 |
| 2 | 109, 98, 377, 92, 32 |
| 2 | 109, 49, 377, 46, 16 |
| 109, 49, 377, 23, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 109 x 49 x 377 x 23 x 8 = 11855823616
Therefore, the lowest common multiple of 109,784,377,736,256 is 11855823616.
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.
109 x 784 x 377 x 736 x 256 = 6070181691392
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.
109 : 1, 109
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
377 : 1, 13, 29, 377
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,784,377,736,256, is 1.
Now, the common factors can be found like this.
109:109
784:2x 2x 2x 2x 7x 7
377:13x 29
736:2x 2x 2x 2x 2x 23
256:2x 2x 2x 2x 2x 2x 2x 2
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 2x 2 = 512
Therefore, the value for common factors is 512.
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 = 6070181691392/(1x512)
LCM = 6070181691392/512
LCM = 11855823616
Thus, we can understand that the LCM of 109,784,377,736,256 is 11855823616.
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FAQs on LCM of 109, 784, 377, 736, 256
1. What is the LCM of 109, 784, 377, 736, 256?
Answer: LCM of 109, 784, 377, 736, 256 is 11855823616.
2. How to calculate the LCM of 109, 784, 377, 736, 256?
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 109, 784, 377, 736, 256.
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}.