Find the LCM of 893, 700, 403, 897, 817 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 893, 700, 403, 897, 817. So, keep reading to learn more.
Given numbers are 893,700,403,897,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,700,403,897,817 is 747432695100.
Find LCM of 893,700,403,897,817 with Prime Factorization
13 | 893, 700, 403, 897, 817 |
19 | 893, 700, 31, 69, 817 |
47, 700, 31, 69, 43 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 47 x 700 x 31 x 69 x 43 = 747432695100
Therefore, the lowest common multiple of 893,700,403,897,817 is 747432695100.
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.
893 x 700 x 403 x 897 x 817 = 184615875689700
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.
893 : 1, 19, 47, 893
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
403 : 1, 13, 31, 403
897 : 1, 3, 13, 23, 39, 69, 299, 897
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,700,403,897,817, is 1.
Now, the common factors can be found like this.
893:19x 47
700:2x 2x 5x 5x 7
403:13x 31
897:3x 13x 23
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 184615875689700/(1x247)
LCM = 184615875689700/247
LCM = 747432695100
Thus, we can understand that the LCM of 893,700,403,897,817 is 747432695100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 700, 403, 897, 817?
Answer: LCM of 893, 700, 403, 897, 817 is 747432695100.
2. How to calculate the LCM of 893, 700, 403, 897, 817?
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 893, 700, 403, 897, 817.
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}.