Find the LCM of 684, 471, 836, 380, 948 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 684, 471, 836, 380, 948. So, keep reading to learn more.
Given numbers are 684,471,836,380,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,471,836,380,948 is 466600860.
Find LCM of 684,471,836,380,948 with Prime Factorization
2 | 684, 471, 836, 380, 948 |
2 | 342, 471, 418, 190, 474 |
3 | 171, 471, 209, 95, 237 |
19 | 57, 157, 209, 95, 79 |
3, 157, 11, 5, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 3 x 157 x 11 x 5 x 79 = 466600860
Therefore, the lowest common multiple of 684,471,836,380,948 is 466600860.
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.
684 x 471 x 836 x 380 x 948 = 97023116424960
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
471 : 1, 3, 157, 471
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,471,836,380,948, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
471:3x 157
836:2x 2x 11x 19
380:2x 2x 5x 19
948:2x 2x 3x 79
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 2x 2x 2x 3x 3x 19x 19 = 207936
Therefore, the value for common factors is 207936.
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 = 97023116424960/(1x207936)
LCM = 97023116424960/207936
LCM = 466600860
Thus, we can understand that the LCM of 684,471,836,380,948 is 466600860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 471, 836, 380, 948?
Answer: LCM of 684, 471, 836, 380, 948 is 466600860.
2. How to calculate the LCM of 684, 471, 836, 380, 948?
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 684, 471, 836, 380, 948.
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}.