Find the LCM of 391, 527, 228, 867 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 391, 527, 228, 867. So, keep reading to learn more.
Given numbers are 391,527,228,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,527,228,867 is 46980996.
Find LCM of 391,527,228,867 with Prime Factorization
3 | 391, 527, 228, 867 |
17 | 391, 527, 76, 289 |
23, 31, 76, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 23 x 31 x 76 x 17 = 46980996
Therefore, the lowest common multiple of 391,527,228,867 is 46980996.
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.
391 x 527 x 228 x 867 = 40732523532
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.
391 : 1, 17, 23, 391
527 : 1, 17, 31, 527
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,527,228,867, is 1.
Now, the common factors can be found like this.
391:17x 23
527:17x 31
228:2x 2x 3x 19
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 17 = 867
Therefore, the value for common factors is 867.
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 = 40732523532/(1x867)
LCM = 40732523532/867
LCM = 46980996
Thus, we can understand that the LCM of 391,527,228,867 is 46980996.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 527, 228, 867?
Answer: LCM of 391, 527, 228, 867 is 46980996.
2. How to calculate the LCM of 391, 527, 228, 867?
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 391, 527, 228, 867.
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}.