Find the LCM of 849, 916, 946, 568, 688 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 849, 916, 946, 568, 688. So, keep reading to learn more.
Given numbers are 849,916,946,568,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,916,946,568,688 is 104467847088.
Find LCM of 849,916,946,568,688 with Prime Factorization
2 | 849, 916, 946, 568, 688 |
2 | 849, 458, 473, 284, 344 |
2 | 849, 229, 473, 142, 172 |
43 | 849, 229, 473, 71, 86 |
849, 229, 11, 71, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 43 x 849 x 229 x 11 x 71 x 2 = 104467847088
Therefore, the lowest common multiple of 849,916,946,568,688 is 104467847088.
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.
849 x 916 x 946 x 568 x 688 = 287495515186176
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.
849 : 1, 3, 283, 849
916 : 1, 2, 4, 229, 458, 916
946 : 1, 2, 11, 22, 43, 86, 473, 946
568 : 1, 2, 4, 8, 71, 142, 284, 568
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,916,946,568,688, is 1.
Now, the common factors can be found like this.
849:3x 283
916:2x 2x 229
946:2x 11x 43
568:2x 2x 2x 71
688:2x 2x 2x 2x 43
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 2x 2x 2x 43 = 2752
Therefore, the value for common factors is 2752.
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 = 287495515186176/(1x2752)
LCM = 287495515186176/2752
LCM = 104467847088
Thus, we can understand that the LCM of 849,916,946,568,688 is 104467847088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 849, 916, 946, 568, 688?
Answer: LCM of 849, 916, 946, 568, 688 is 104467847088.
2. How to calculate the LCM of 849, 916, 946, 568, 688?
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 849, 916, 946, 568, 688.
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}.