LCM of 894, 952, 925, 651, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 952, 925, 651, 824 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 894, 952, 925, 651, 824. So, keep reading to learn more.
Given numbers are 894,952,925,651,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,952,925,651,824 is 1256854842600.
Find LCM of 894,952,925,651,824 with Prime Factorization
| 2 | 894, 952, 925, 651, 824 |
| 2 | 447, 476, 925, 651, 412 |
| 2 | 447, 238, 925, 651, 206 |
| 3 | 447, 119, 925, 651, 103 |
| 7 | 149, 119, 925, 217, 103 |
| 149, 17, 925, 31, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 149 x 17 x 925 x 31 x 103 = 1256854842600
Therefore, the lowest common multiple of 894,952,925,651,824 is 1256854842600.
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.
894 x 952 x 925 x 651 x 824 = 422303227113600
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
925 : 1, 5, 25, 37, 185, 925
651 : 1, 3, 7, 21, 31, 93, 217, 651
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,952,925,651,824, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
952:2x 2x 2x 7x 17
925:5x 5x 37
651:3x 7x 31
824:2x 2x 2x 103
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 422303227113600/(1x336)
LCM = 422303227113600/336
LCM = 1256854842600
Thus, we can understand that the LCM of 894,952,925,651,824 is 1256854842600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 894, 952, 925, 651, 824
1. What is the LCM of 894, 952, 925, 651, 824?
Answer: LCM of 894, 952, 925, 651, 824 is 1256854842600.
2. How to calculate the LCM of 894, 952, 925, 651, 824?
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 894, 952, 925, 651, 824.
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}.