Find the LCM of 867, 821, 209, 499, 465 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 867, 821, 209, 499, 465. So, keep reading to learn more.
Given numbers are 867,821,209,499,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,821,209,499,465 is 11506434894735.
Find LCM of 867,821,209,499,465 with Prime Factorization
3 | 867, 821, 209, 499, 465 |
289, 821, 209, 499, 155 |
Multiply the prime numbers at the bottom and the left side.
3 x 289 x 821 x 209 x 499 x 155 = 11506434894735
Therefore, the lowest common multiple of 867,821,209,499,465 is 11506434894735.
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.
867 x 821 x 209 x 499 x 465 = 34519304684205
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.
867 : 1, 3, 17, 51, 289, 867
821 : 1, 821
209 : 1, 11, 19, 209
499 : 1, 499
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,821,209,499,465, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
821:821
209:11x 19
499:499
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 34519304684205/(1x3)
LCM = 34519304684205/3
LCM = 11506434894735
Thus, we can understand that the LCM of 867,821,209,499,465 is 11506434894735.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 867, 821, 209, 499, 465?
Answer: LCM of 867, 821, 209, 499, 465 is 11506434894735.
2. How to calculate the LCM of 867, 821, 209, 499, 465?
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 867, 821, 209, 499, 465.
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}.