Find the LCM of 824, 221, 312, 306 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 824, 221, 312, 306. So, keep reading to learn more.
Given numbers are 824,221,312,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,221,312,306 is 1638936.
Find LCM of 824,221,312,306 with Prime Factorization
2 | 824, 221, 312, 306 |
2 | 412, 221, 156, 153 |
2 | 206, 221, 78, 153 |
3 | 103, 221, 39, 153 |
13 | 103, 221, 13, 51 |
17 | 103, 17, 1, 51 |
103, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 17 x 103 x 1 x 1 x 3 = 1638936
Therefore, the lowest common multiple of 824,221,312,306 is 1638936.
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.
824 x 221 x 312 x 306 = 17385833088
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
221 : 1, 13, 17, 221
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,221,312,306, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
221:13x 17
312:2x 2x 2x 3x 13
306:2x 3x 3x 17
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 13x 17 = 10608
Therefore, the value for common factors is 10608.
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 = 17385833088/(1x10608)
LCM = 17385833088/10608
LCM = 1638936
Thus, we can understand that the LCM of 824,221,312,306 is 1638936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 221, 312, 306?
Answer: LCM of 824, 221, 312, 306 is 1638936.
2. How to calculate the LCM of 824, 221, 312, 306?
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 824, 221, 312, 306.
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}.