Find the LCM of 856, 214, 552, 381, 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 856, 214, 552, 381, 948. So, keep reading to learn more.
Given numbers are 856,214,552,381,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,214,552,381,948 is 592589112.
Find LCM of 856,214,552,381,948 with Prime Factorization
2 | 856, 214, 552, 381, 948 |
2 | 428, 107, 276, 381, 474 |
2 | 214, 107, 138, 381, 237 |
3 | 107, 107, 69, 381, 237 |
107 | 107, 107, 23, 127, 79 |
1, 1, 23, 127, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 107 x 1 x 1 x 23 x 127 x 79 = 592589112
Therefore, the lowest common multiple of 856,214,552,381,948 is 592589112.
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.
856 x 214 x 552 x 381 x 948 = 36522452150784
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
214 : 1, 2, 107, 214
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
381 : 1, 3, 127, 381
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 856,214,552,381,948, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
214:2x 107
552:2x 2x 2x 3x 23
381:3x 127
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 107 = 61632
Therefore, the value for common factors is 61632.
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 = 36522452150784/(1x61632)
LCM = 36522452150784/61632
LCM = 592589112
Thus, we can understand that the LCM of 856,214,552,381,948 is 592589112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 856, 214, 552, 381, 948?
Answer: LCM of 856, 214, 552, 381, 948 is 592589112.
2. How to calculate the LCM of 856, 214, 552, 381, 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 856, 214, 552, 381, 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}.