Find the LCM of 499, 271, 396, 867, 345 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 499, 271, 396, 867, 345. So, keep reading to learn more.
Given numbers are 499,271,396,867,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,271,396,867,345 is 1779756982740.
Find LCM of 499,271,396,867,345 with Prime Factorization
3 | 499, 271, 396, 867, 345 |
499, 271, 132, 289, 115 |
Multiply the prime numbers at the bottom and the left side.
3 x 499 x 271 x 132 x 289 x 115 = 1779756982740
Therefore, the lowest common multiple of 499,271,396,867,345 is 1779756982740.
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.
499 x 271 x 396 x 867 x 345 = 16017812844660
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.
499 : 1, 499
271 : 1, 271
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
867 : 1, 3, 17, 51, 289, 867
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,271,396,867,345, is 1.
Now, the common factors can be found like this.
499:499
271:271
396:2x 2x 3x 3x 11
867:3x 17x 17
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 16017812844660/(1x9)
LCM = 16017812844660/9
LCM = 1779756982740
Thus, we can understand that the LCM of 499,271,396,867,345 is 1779756982740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 499, 271, 396, 867, 345?
Answer: LCM of 499, 271, 396, 867, 345 is 1779756982740.
2. How to calculate the LCM of 499, 271, 396, 867, 345?
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 499, 271, 396, 867, 345.
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}.