LCM of 247, 256, 352, 144, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 256, 352, 144, 649 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 247, 256, 352, 144, 649. So, keep reading to learn more.
Given numbers are 247,256,352,144,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,256,352,144,649 is 369338112.
Find LCM of 247,256,352,144,649 with Prime Factorization
| 2 | 247, 256, 352, 144, 649 |
| 2 | 247, 128, 176, 72, 649 |
| 2 | 247, 64, 88, 36, 649 |
| 2 | 247, 32, 44, 18, 649 |
| 2 | 247, 16, 22, 9, 649 |
| 11 | 247, 8, 11, 9, 649 |
| 247, 8, 1, 9, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 247 x 8 x 1 x 9 x 59 = 369338112
Therefore, the lowest common multiple of 247,256,352,144,649 is 369338112.
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.
247 x 256 x 352 x 144 x 649 = 2080112246784
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.
247 : 1, 13, 19, 247
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,256,352,144,649, is 1.
Now, the common factors can be found like this.
247:13x 19
256:2x 2x 2x 2x 2x 2x 2x 2
352:2x 2x 2x 2x 2x 11
144:2x 2x 2x 2x 3x 3
649:11x 59
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 2x 11 = 5632
Therefore, the value for common factors is 5632.
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 = 2080112246784/(1x5632)
LCM = 2080112246784/5632
LCM = 369338112
Thus, we can understand that the LCM of 247,256,352,144,649 is 369338112.
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FAQs on LCM of 247, 256, 352, 144, 649
1. What is the LCM of 247, 256, 352, 144, 649?
Answer: LCM of 247, 256, 352, 144, 649 is 369338112.
2. How to calculate the LCM of 247, 256, 352, 144, 649?
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 247, 256, 352, 144, 649.
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}.