Find the LCM of 524, 731, 867, 494, 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 524, 731, 867, 494, 264. So, keep reading to learn more.
Given numbers are 524,731,867,494,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,731,867,494,264 is 106154515896.
Find LCM of 524,731,867,494,264 with Prime Factorization
2 | 524, 731, 867, 494, 264 |
2 | 262, 731, 867, 247, 132 |
3 | 131, 731, 867, 247, 66 |
17 | 131, 731, 289, 247, 22 |
131, 43, 17, 247, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 131 x 43 x 17 x 247 x 22 = 106154515896
Therefore, the lowest common multiple of 524,731,867,494,264 is 106154515896.
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.
524 x 731 x 867 x 494 x 264 = 43311042485568
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.
524 : 1, 2, 4, 131, 262, 524
731 : 1, 17, 43, 731
867 : 1, 3, 17, 51, 289, 867
494 : 1, 2, 13, 19, 26, 38, 247, 494
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 524,731,867,494,264, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
731:17x 43
867:3x 17x 17
494:2x 13x 19
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 43311042485568/(1x408)
LCM = 43311042485568/408
LCM = 106154515896
Thus, we can understand that the LCM of 524,731,867,494,264 is 106154515896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 731, 867, 494, 264?
Answer: LCM of 524, 731, 867, 494, 264 is 106154515896.
2. How to calculate the LCM of 524, 731, 867, 494, 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 524, 731, 867, 494, 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}.