Find the LCM of 894, 590, 249, 372, 486 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, 590, 249, 372, 486. So, keep reading to learn more.
Given numbers are 894,590,249,372,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,590,249,372,486 is 109929520980.
Find LCM of 894,590,249,372,486 with Prime Factorization
2 | 894, 590, 249, 372, 486 |
3 | 447, 295, 249, 186, 243 |
149, 295, 83, 62, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 295 x 83 x 62 x 81 = 109929520980
Therefore, the lowest common multiple of 894,590,249,372,486 is 109929520980.
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 590 x 249 x 372 x 486 = 23744776531680
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
590 : 1, 2, 5, 10, 59, 118, 295, 590
249 : 1, 3, 83, 249
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,590,249,372,486, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
590:2x 5x 59
249:3x 83
372:2x 2x 3x 31
486:2x 3x 3x 3x 3x 3
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 23744776531680/(1x216)
LCM = 23744776531680/216
LCM = 109929520980
Thus, we can understand that the LCM of 894,590,249,372,486 is 109929520980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 590, 249, 372, 486?
Answer: LCM of 894, 590, 249, 372, 486 is 109929520980.
2. How to calculate the LCM of 894, 590, 249, 372, 486?
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, 590, 249, 372, 486.
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}.