LCM of 269, 176, 768, 517, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 176, 768, 517, 671 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, 176, 768, 517, 671. So, keep reading to learn more.
Given numbers are 269,176,768,517,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,176,768,517,671 is 6515291904.
Find LCM of 269,176,768,517,671 with Prime Factorization
| 2 | 269, 176, 768, 517, 671 |
| 2 | 269, 88, 384, 517, 671 |
| 2 | 269, 44, 192, 517, 671 |
| 2 | 269, 22, 96, 517, 671 |
| 11 | 269, 11, 48, 517, 671 |
| 269, 1, 48, 47, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 269 x 1 x 48 x 47 x 61 = 6515291904
Therefore, the lowest common multiple of 269,176,768,517,671 is 6515291904.
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 176 x 768 x 517 x 671 = 12613605126144
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
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
517 : 1, 11, 47, 517
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,176,768,517,671, is 1.
Now, the common factors can be found like this.
269:269
176:2x 2x 2x 2x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 3
517:11x 47
671:11x 61
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 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 12613605126144/(1x1936)
LCM = 12613605126144/1936
LCM = 6515291904
Thus, we can understand that the LCM of 269,176,768,517,671 is 6515291904.
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FAQs on LCM of 269, 176, 768, 517, 671
1. What is the LCM of 269, 176, 768, 517, 671?
Answer: LCM of 269, 176, 768, 517, 671 is 6515291904.
2. How to calculate the LCM of 269, 176, 768, 517, 671?
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, 176, 768, 517, 671.
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}.