Find the LCM of 283, 894, 312, 228 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 283, 894, 312, 228. So, keep reading to learn more.
Given numbers are 283,894,312,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,894,312,228 is 249965976.
Find LCM of 283,894,312,228 with Prime Factorization
2 | 283, 894, 312, 228 |
2 | 283, 447, 156, 114 |
3 | 283, 447, 78, 57 |
283, 149, 26, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 283 x 149 x 26 x 19 = 249965976
Therefore, the lowest common multiple of 283,894,312,228 is 249965976.
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.
283 x 894 x 312 x 228 = 17997550272
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.
283 : 1, 283
894 : 1, 2, 3, 6, 149, 298, 447, 894
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,894,312,228, is 1.
Now, the common factors can be found like this.
283:283
894:2x 3x 149
312:2x 2x 2x 3x 13
228:2x 2x 3x 19
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 3 = 72
Therefore, the value for common factors is 72.
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 = 17997550272/(1x72)
LCM = 17997550272/72
LCM = 249965976
Thus, we can understand that the LCM of 283,894,312,228 is 249965976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 283, 894, 312, 228?
Answer: LCM of 283, 894, 312, 228 is 249965976.
2. How to calculate the LCM of 283, 894, 312, 228?
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 283, 894, 312, 228.
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}.