Find the LCM of 682, 948, 869, 176 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 682, 948, 869, 176. So, keep reading to learn more.
Given numbers are 682,948,869,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,948,869,176 is 1293072.
Find LCM of 682,948,869,176 with Prime Factorization
2 | 682, 948, 869, 176 |
2 | 341, 474, 869, 88 |
11 | 341, 237, 869, 44 |
79 | 31, 237, 79, 4 |
31, 3, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 79 x 31 x 3 x 1 x 4 = 1293072
Therefore, the lowest common multiple of 682,948,869,176 is 1293072.
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.
682 x 948 x 869 x 176 = 98883801984
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
869 : 1, 11, 79, 869
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,948,869,176, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
948:2x 2x 3x 79
869:11x 79
176:2x 2x 2x 2x 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 2x 11x 11x 79 = 76472
Therefore, the value for common factors is 76472.
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 = 98883801984/(1x76472)
LCM = 98883801984/76472
LCM = 1293072
Thus, we can understand that the LCM of 682,948,869,176 is 1293072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 948, 869, 176?
Answer: LCM of 682, 948, 869, 176 is 1293072.
2. How to calculate the LCM of 682, 948, 869, 176?
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 682, 948, 869, 176.
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}.