LCM of 267, 344, 264, 509, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 344, 264, 509, 402 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 267, 344, 264, 509, 402. So, keep reading to learn more.
Given numbers are 267,344,264,509,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,344,264,509,402 is 34455215784.
Find LCM of 267,344,264,509,402 with Prime Factorization
| 2 | 267, 344, 264, 509, 402 |
| 2 | 267, 172, 132, 509, 201 |
| 2 | 267, 86, 66, 509, 201 |
| 3 | 267, 43, 33, 509, 201 |
| 89, 43, 11, 509, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 89 x 43 x 11 x 509 x 67 = 34455215784
Therefore, the lowest common multiple of 267,344,264,509,402 is 34455215784.
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.
267 x 344 x 264 x 509 x 402 = 4961551072896
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.
267 : 1, 3, 89, 267
344 : 1, 2, 4, 8, 43, 86, 172, 344
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
509 : 1, 509
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,344,264,509,402, is 1.
Now, the common factors can be found like this.
267:3x 89
344:2x 2x 2x 43
264:2x 2x 2x 3x 11
509:509
402:2x 3x 67
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 4961551072896/(1x144)
LCM = 4961551072896/144
LCM = 34455215784
Thus, we can understand that the LCM of 267,344,264,509,402 is 34455215784.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 344, 264, 509, 402
1. What is the LCM of 267, 344, 264, 509, 402?
Answer: LCM of 267, 344, 264, 509, 402 is 34455215784.
2. How to calculate the LCM of 267, 344, 264, 509, 402?
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 267, 344, 264, 509, 402.
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}.