Find the LCM of 357, 814, 861, 660, 885 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 357, 814, 861, 660, 885. So, keep reading to learn more.
Given numbers are 357,814,861,660,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,814,861,660,885 is 7029565620.
Find LCM of 357,814,861,660,885 with Prime Factorization
2 | 357, 814, 861, 660, 885 |
3 | 357, 407, 861, 330, 885 |
5 | 119, 407, 287, 110, 295 |
7 | 119, 407, 287, 22, 59 |
11 | 17, 407, 41, 22, 59 |
17, 37, 41, 2, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 17 x 37 x 41 x 2 x 59 = 7029565620
Therefore, the lowest common multiple of 357,814,861,660,885 is 7029565620.
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.
357 x 814 x 861 x 660 x 885 = 146144669239800
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
814 : 1, 2, 11, 22, 37, 74, 407, 814
861 : 1, 3, 7, 21, 41, 123, 287, 861
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,814,861,660,885, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
814:2x 11x 37
861:3x 7x 41
660:2x 2x 3x 5x 11
885:3x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7x 11 = 20790
Therefore, the value for common factors is 20790.
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 = 146144669239800/(1x20790)
LCM = 146144669239800/20790
LCM = 7029565620
Thus, we can understand that the LCM of 357,814,861,660,885 is 7029565620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 357, 814, 861, 660, 885?
Answer: LCM of 357, 814, 861, 660, 885 is 7029565620.
2. How to calculate the LCM of 357, 814, 861, 660, 885?
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 357, 814, 861, 660, 885.
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}.