LCM of 452, 299, 884, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 299, 884, 536 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 452, 299, 884, 536. So, keep reading to learn more.
Given numbers are 452,299,884,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,299,884,536 is 307867144.
Find LCM of 452,299,884,536 with Prime Factorization
| 2 | 452, 299, 884, 536 |
| 2 | 226, 299, 442, 268 |
| 13 | 113, 299, 221, 134 |
| 113, 23, 17, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 113 x 23 x 17 x 134 = 307867144
Therefore, the lowest common multiple of 452,299,884,536 is 307867144.
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.
452 x 299 x 884 x 536 = 64036365952
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.
452 : 1, 2, 4, 113, 226, 452
299 : 1, 13, 23, 299
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,299,884,536, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
299:13x 23
884:2x 2x 13x 17
536:2x 2x 2x 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 13 = 208
Therefore, the value for common factors is 208.
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 = 64036365952/(1x208)
LCM = 64036365952/208
LCM = 307867144
Thus, we can understand that the LCM of 452,299,884,536 is 307867144.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 452, 299, 884, 536
1. What is the LCM of 452, 299, 884, 536?
Answer: LCM of 452, 299, 884, 536 is 307867144.
2. How to calculate the LCM of 452, 299, 884, 536?
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 452, 299, 884, 536.
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}.