Find the LCM of 731, 324, 459, 551 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 731, 324, 459, 551. So, keep reading to learn more.
Given numbers are 731,324,459,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,324,459,551 is 130501044.
Find LCM of 731,324,459,551 with Prime Factorization
3 | 731, 324, 459, 551 |
3 | 731, 108, 153, 551 |
3 | 731, 36, 51, 551 |
17 | 731, 12, 17, 551 |
43, 12, 1, 551 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 17 x 43 x 12 x 1 x 551 = 130501044
Therefore, the lowest common multiple of 731,324,459,551 is 130501044.
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.
731 x 324 x 459 x 551 = 59899979196
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.
731 : 1, 17, 43, 731
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
459 : 1, 3, 9, 17, 27, 51, 153, 459
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,324,459,551, is 1.
Now, the common factors can be found like this.
731:17x 43
324:2x 2x 3x 3x 3x 3
459:3x 3x 3x 17
551:19x 29
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 3x 17 = 459
Therefore, the value for common factors is 459.
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 = 59899979196/(1x459)
LCM = 59899979196/459
LCM = 130501044
Thus, we can understand that the LCM of 731,324,459,551 is 130501044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 324, 459, 551?
Answer: LCM of 731, 324, 459, 551 is 130501044.
2. How to calculate the LCM of 731, 324, 459, 551?
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 731, 324, 459, 551.
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}.