Find the LCM of 821, 907, 815, 897, 533 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, 907, 815, 897, 533. So, keep reading to learn more.
Given numbers are 821,907,815,897,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,907,815,897,533 is 22319494415985.
Find LCM of 821,907,815,897,533 with Prime Factorization
13 | 821, 907, 815, 897, 533 |
821, 907, 815, 69, 41 |
Multiply the prime numbers at the bottom and the left side.
13 x 821 x 907 x 815 x 69 x 41 = 22319494415985
Therefore, the lowest common multiple of 821,907,815,897,533 is 22319494415985.
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 907 x 815 x 897 x 533 = 290153427407805
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
907 : 1, 907
815 : 1, 5, 163, 815
897 : 1, 3, 13, 23, 39, 69, 299, 897
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,907,815,897,533, is 1.
Now, the common factors can be found like this.
821:821
907:907
815:5x 163
897:3x 13x 23
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 290153427407805/(1x13)
LCM = 290153427407805/13
LCM = 22319494415985
Thus, we can understand that the LCM of 821,907,815,897,533 is 22319494415985.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 821, 907, 815, 897, 533?
Answer: LCM of 821, 907, 815, 897, 533 is 22319494415985.
2. How to calculate the LCM of 821, 907, 815, 897, 533?
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, 907, 815, 897, 533.
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}.