LCM of 269, 149, 364, 819, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 149, 364, 819, 768 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, 149, 364, 819, 768. So, keep reading to learn more.
Given numbers are 269,149,364,819,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,149,364,819,768 is 8403542784.
Find LCM of 269,149,364,819,768 with Prime Factorization
| 2 | 269, 149, 364, 819, 768 |
| 2 | 269, 149, 182, 819, 384 |
| 3 | 269, 149, 91, 819, 192 |
| 7 | 269, 149, 91, 273, 64 |
| 13 | 269, 149, 13, 39, 64 |
| 269, 149, 1, 3, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 269 x 149 x 1 x 3 x 64 = 8403542784
Therefore, the lowest common multiple of 269,149,364,819,768 is 8403542784.
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 149 x 364 x 819 x 768 = 9176668720128
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
149 : 1, 149
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,149,364,819,768, is 1.
Now, the common factors can be found like this.
269:269
149:149
364:2x 2x 7x 13
819:3x 3x 7x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 7x 13 = 1092
Therefore, the value for common factors is 1092.
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 = 9176668720128/(1x1092)
LCM = 9176668720128/1092
LCM = 8403542784
Thus, we can understand that the LCM of 269,149,364,819,768 is 8403542784.
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FAQs on LCM of 269, 149, 364, 819, 768
1. What is the LCM of 269, 149, 364, 819, 768?
Answer: LCM of 269, 149, 364, 819, 768 is 8403542784.
2. How to calculate the LCM of 269, 149, 364, 819, 768?
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, 149, 364, 819, 768.
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}.