LCM of 667, 864, 297, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 864, 297, 271 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 667, 864, 297, 271. So, keep reading to learn more.
Given numbers are 667,864,297,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,864,297,271 is 1717914528.
Find LCM of 667,864,297,271 with Prime Factorization
| 3 | 667, 864, 297, 271 |
| 3 | 667, 288, 99, 271 |
| 3 | 667, 96, 33, 271 |
| 667, 32, 11, 271 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 667 x 32 x 11 x 271 = 1717914528
Therefore, the lowest common multiple of 667,864,297,271 is 1717914528.
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.
667 x 864 x 297 x 271 = 46383692256
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.
667 : 1, 23, 29, 667
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
297 : 1, 3, 9, 11, 27, 33, 99, 297
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,864,297,271, is 1.
Now, the common factors can be found like this.
667:23x 29
864:2x 2x 2x 2x 2x 3x 3x 3
297:3x 3x 3x 11
271:271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 46383692256/(1x27)
LCM = 46383692256/27
LCM = 1717914528
Thus, we can understand that the LCM of 667,864,297,271 is 1717914528.
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FAQs on LCM of 667, 864, 297, 271
1. What is the LCM of 667, 864, 297, 271?
Answer: LCM of 667, 864, 297, 271 is 1717914528.
2. How to calculate the LCM of 667, 864, 297, 271?
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 667, 864, 297, 271.
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}.