Find the LCM of 632, 586, 289, 764, 835 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 632, 586, 289, 764, 835. So, keep reading to learn more.
Given numbers are 632,586,289,764,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,586,289,764,835 is 8534977570040.
Find LCM of 632,586,289,764,835 with Prime Factorization
2 | 632, 586, 289, 764, 835 |
2 | 316, 293, 289, 382, 835 |
158, 293, 289, 191, 835 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 158 x 293 x 289 x 191 x 835 = 8534977570040
Therefore, the lowest common multiple of 632,586,289,764,835 is 8534977570040.
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.
632 x 586 x 289 x 764 x 835 = 68279820560320
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
586 : 1, 2, 293, 586
289 : 1, 17, 289
764 : 1, 2, 4, 191, 382, 764
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,586,289,764,835, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
586:2x 293
289:17x 17
764:2x 2x 191
835:5x 167
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 = 68279820560320/(1x8)
LCM = 68279820560320/8
LCM = 8534977570040
Thus, we can understand that the LCM of 632,586,289,764,835 is 8534977570040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 632, 586, 289, 764, 835?
Answer: LCM of 632, 586, 289, 764, 835 is 8534977570040.
2. How to calculate the LCM of 632, 586, 289, 764, 835?
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 632, 586, 289, 764, 835.
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}.