Find the LCM of 599, 324, 846, 162, 113 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 599, 324, 846, 162, 113. So, keep reading to learn more.
Given numbers are 599,324,846,162,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,324,846,162,113 is 1030737636.
Find LCM of 599,324,846,162,113 with Prime Factorization
2 | 599, 324, 846, 162, 113 |
3 | 599, 162, 423, 81, 113 |
3 | 599, 54, 141, 27, 113 |
3 | 599, 18, 47, 9, 113 |
3 | 599, 6, 47, 3, 113 |
599, 2, 47, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 599 x 2 x 47 x 1 x 113 = 1030737636
Therefore, the lowest common multiple of 599,324,846,162,113 is 1030737636.
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.
599 x 324 x 846 x 162 x 113 = 3005630946576
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.
599 : 1, 599
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,324,846,162,113, is 1.
Now, the common factors can be found like this.
599:599
324:2x 2x 3x 3x 3x 3
846:2x 3x 3x 47
162:2x 3x 3x 3x 3
113:113
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 3x 3x 3x 3x 3x 3 = 2916
Therefore, the value for common factors is 2916.
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 = 3005630946576/(1x2916)
LCM = 3005630946576/2916
LCM = 1030737636
Thus, we can understand that the LCM of 599,324,846,162,113 is 1030737636.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 599, 324, 846, 162, 113?
Answer: LCM of 599, 324, 846, 162, 113 is 1030737636.
2. How to calculate the LCM of 599, 324, 846, 162, 113?
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 599, 324, 846, 162, 113.
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}.