Find the LCM of 882, 314, 910, 715, 363 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 882, 314, 910, 715, 363. So, keep reading to learn more.
Given numbers are 882,314,910,715,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,314,910,715,363 is 1089098010.
Find LCM of 882,314,910,715,363 with Prime Factorization
2 | 882, 314, 910, 715, 363 |
3 | 441, 157, 455, 715, 363 |
5 | 147, 157, 455, 715, 121 |
7 | 147, 157, 91, 143, 121 |
11 | 21, 157, 13, 143, 121 |
13 | 21, 157, 13, 13, 11 |
21, 157, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 13 x 21 x 157 x 1 x 1 x 11 = 1089098010
Therefore, the lowest common multiple of 882,314,910,715,363 is 1089098010.
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.
882 x 314 x 910 x 715 x 363 = 65411226480600
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
314 : 1, 2, 157, 314
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
715 : 1, 5, 11, 13, 55, 65, 143, 715
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,314,910,715,363, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
314:2x 157
910:2x 5x 7x 13
715:5x 11x 13
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 7x 11x 13 = 60060
Therefore, the value for common factors is 60060.
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 = 65411226480600/(1x60060)
LCM = 65411226480600/60060
LCM = 1089098010
Thus, we can understand that the LCM of 882,314,910,715,363 is 1089098010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 882, 314, 910, 715, 363?
Answer: LCM of 882, 314, 910, 715, 363 is 1089098010.
2. How to calculate the LCM of 882, 314, 910, 715, 363?
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 882, 314, 910, 715, 363.
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}.