Find the LCM of 835, 678, 879, 586, 952 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 835, 678, 879, 586, 952. So, keep reading to learn more.
Given numbers are 835,678,879,586,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,678,879,586,952 is 78957018840.
Find LCM of 835,678,879,586,952 with Prime Factorization
2 | 835, 678, 879, 586, 952 |
3 | 835, 339, 879, 293, 476 |
293 | 835, 113, 293, 293, 476 |
835, 113, 1, 1, 476 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 835 x 113 x 1 x 1 x 476 = 78957018840
Therefore, the lowest common multiple of 835,678,879,586,952 is 78957018840.
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.
835 x 678 x 879 x 586 x 952 = 277612878241440
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.
835 : 1, 5, 167, 835
678 : 1, 2, 3, 6, 113, 226, 339, 678
879 : 1, 3, 293, 879
586 : 1, 2, 293, 586
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,678,879,586,952, is 1.
Now, the common factors can be found like this.
835:5x 167
678:2x 3x 113
879:3x 293
586:2x 293
952:2x 2x 2x 7x 17
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 3x 293 = 3516
Therefore, the value for common factors is 3516.
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 = 277612878241440/(1x3516)
LCM = 277612878241440/3516
LCM = 78957018840
Thus, we can understand that the LCM of 835,678,879,586,952 is 78957018840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 835, 678, 879, 586, 952?
Answer: LCM of 835, 678, 879, 586, 952 is 78957018840.
2. How to calculate the LCM of 835, 678, 879, 586, 952?
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 835, 678, 879, 586, 952.
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}.