Find the LCM of 821, 821, 260, 351, 619 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 821, 821, 260, 351, 619. So, keep reading to learn more.
Given numbers are 821,821,260,351,619
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,821,260,351,619 is 3567556980.
Find LCM of 821,821,260,351,619 with Prime Factorization
13 | 821, 821, 260, 351, 619 |
821 | 821, 821, 20, 27, 619 |
1, 1, 20, 27, 619 |
Multiply the prime numbers at the bottom and the left side.
13 x 821 x 1 x 1 x 20 x 27 x 619 = 3567556980
Therefore, the lowest common multiple of 821,821,260,351,619 is 3567556980.
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.
821 x 821 x 260 x 351 x 619 = 38076535647540
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.
821 : 1, 821
821 : 1, 821
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
351 : 1, 3, 9, 13, 27, 39, 117, 351
619 : 1, 619
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,821,260,351,619, is 1.
Now, the common factors can be found like this.
821:821
821:821
260:2x 2x 5x 13
351:3x 3x 3x 13
619:619
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 821 = 10673
Therefore, the value for common factors is 10673.
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 = 38076535647540/(1x10673)
LCM = 38076535647540/10673
LCM = 3567556980
Thus, we can understand that the LCM of 821,821,260,351,619 is 3567556980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 821, 821, 260, 351, 619?
Answer: LCM of 821, 821, 260, 351, 619 is 3567556980.
2. How to calculate the LCM of 821, 821, 260, 351, 619?
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 821, 821, 260, 351, 619.
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}.