Find the LCM of 964, 899, 674, 570, 286 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 964, 899, 674, 570, 286. So, keep reading to learn more.
Given numbers are 964,899,674,570,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,899,674,570,286 is 11902755810660.
Find LCM of 964,899,674,570,286 with Prime Factorization
2 | 964, 899, 674, 570, 286 |
482, 899, 337, 285, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 482 x 899 x 337 x 285 x 143 = 11902755810660
Therefore, the lowest common multiple of 964,899,674,570,286 is 11902755810660.
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.
964 x 899 x 674 x 570 x 286 = 95222046485280
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.
964 : 1, 2, 4, 241, 482, 964
899 : 1, 29, 31, 899
674 : 1, 2, 337, 674
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,899,674,570,286, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
899:29x 31
674:2x 337
570:2x 3x 5x 19
286:2x 11x 13
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 2 = 8
Therefore, the value for common factors is 8.
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 = 95222046485280/(1x8)
LCM = 95222046485280/8
LCM = 11902755810660
Thus, we can understand that the LCM of 964,899,674,570,286 is 11902755810660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 899, 674, 570, 286?
Answer: LCM of 964, 899, 674, 570, 286 is 11902755810660.
2. How to calculate the LCM of 964, 899, 674, 570, 286?
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 964, 899, 674, 570, 286.
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}.