Find the LCM of 816, 856, 357, 257, 701 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 816, 856, 357, 257, 701. So, keep reading to learn more.
Given numbers are 816,856,357,257,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,856,357,257,701 is 110109075888.
Find LCM of 816,856,357,257,701 with Prime Factorization
2 | 816, 856, 357, 257, 701 |
2 | 408, 428, 357, 257, 701 |
2 | 204, 214, 357, 257, 701 |
3 | 102, 107, 357, 257, 701 |
17 | 34, 107, 119, 257, 701 |
2, 107, 7, 257, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 2 x 107 x 7 x 257 x 701 = 110109075888
Therefore, the lowest common multiple of 816,856,357,257,701 is 110109075888.
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.
816 x 856 x 357 x 257 x 701 = 44924502962304
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
856 : 1, 2, 4, 8, 107, 214, 428, 856
357 : 1, 3, 7, 17, 21, 51, 119, 357
257 : 1, 257
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,856,357,257,701, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
856:2x 2x 2x 107
357:3x 7x 17
257:257
701:701
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 44924502962304/(1x408)
LCM = 44924502962304/408
LCM = 110109075888
Thus, we can understand that the LCM of 816,856,357,257,701 is 110109075888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 816, 856, 357, 257, 701?
Answer: LCM of 816, 856, 357, 257, 701 is 110109075888.
2. How to calculate the LCM of 816, 856, 357, 257, 701?
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 816, 856, 357, 257, 701.
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}.