Find the LCM of 622, 126, 360, 316, 684 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 622, 126, 360, 316, 684. So, keep reading to learn more.
Given numbers are 622,126,360,316,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,126,360,316,684 is 1176363720.
Find LCM of 622,126,360,316,684 with Prime Factorization
2 | 622, 126, 360, 316, 684 |
2 | 311, 63, 180, 158, 342 |
3 | 311, 63, 90, 79, 171 |
3 | 311, 21, 30, 79, 57 |
311, 7, 10, 79, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 311 x 7 x 10 x 79 x 19 = 1176363720
Therefore, the lowest common multiple of 622,126,360,316,684 is 1176363720.
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.
622 x 126 x 360 x 316 x 684 = 6098269524480
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.
622 : 1, 2, 311, 622
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
316 : 1, 2, 4, 79, 158, 316
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,126,360,316,684, is 2.
Now, the common factors can be found like this.
622:2x 311
126:2x 3x 3x 7
360:2x 2x 2x 3x 3x 5
316:2x 2x 79
684:2x 2x 3x 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 2x 2x 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 6098269524480/(2x2592)
LCM = 6098269524480/5184
LCM = 1176363720
Thus, we can understand that the LCM of 622,126,360,316,684 is 1176363720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 622, 126, 360, 316, 684?
Answer: LCM of 622, 126, 360, 316, 684 is 1176363720.
2. How to calculate the LCM of 622, 126, 360, 316, 684?
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 622, 126, 360, 316, 684.
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}.