LCM of 436, 704, 667, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 704, 667, 264 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 436, 704, 667, 264. So, keep reading to learn more.
Given numbers are 436,704,667,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,704,667,264 is 153548736.
Find LCM of 436,704,667,264 with Prime Factorization
| 2 | 436, 704, 667, 264 |
| 2 | 218, 352, 667, 132 |
| 2 | 109, 176, 667, 66 |
| 11 | 109, 88, 667, 33 |
| 109, 8, 667, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 109 x 8 x 667 x 3 = 153548736
Therefore, the lowest common multiple of 436,704,667,264 is 153548736.
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.
436 x 704 x 667 x 264 = 54049155072
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.
436 : 1, 2, 4, 109, 218, 436
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
667 : 1, 23, 29, 667
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,704,667,264, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
704:2x 2x 2x 2x 2x 2x 11
667:23x 29
264:2x 2x 2x 3x 11
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 11 = 352
Therefore, the value for common factors is 352.
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 = 54049155072/(1x352)
LCM = 54049155072/352
LCM = 153548736
Thus, we can understand that the LCM of 436,704,667,264 is 153548736.
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FAQs on LCM of 436, 704, 667, 264
1. What is the LCM of 436, 704, 667, 264?
Answer: LCM of 436, 704, 667, 264 is 153548736.
2. How to calculate the LCM of 436, 704, 667, 264?
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 436, 704, 667, 264.
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}.