Find the LCM of 155, 723, 723, 668, 823 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 155, 723, 723, 668, 823. So, keep reading to learn more.
Given numbers are 155,723,723,668,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,723,723,668,823 is 61609302660.
Find LCM of 155,723,723,668,823 with Prime Factorization
3 | 155, 723, 723, 668, 823 |
241 | 155, 241, 241, 668, 823 |
155, 1, 1, 668, 823 |
Multiply the prime numbers at the bottom and the left side.
3 x 241 x 155 x 1 x 1 x 668 x 823 = 61609302660
Therefore, the lowest common multiple of 155,723,723,668,823 is 61609302660.
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.
155 x 723 x 723 x 668 x 823 = 44543525823180
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.
155 : 1, 5, 31, 155
723 : 1, 3, 241, 723
723 : 1, 3, 241, 723
668 : 1, 2, 4, 167, 334, 668
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,723,723,668,823, is 1.
Now, the common factors can be found like this.
155:5x 31
723:3x 241
723:3x 241
668:2x 2x 167
823:823
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 241 = 723
Therefore, the value for common factors is 723.
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 = 44543525823180/(1x723)
LCM = 44543525823180/723
LCM = 61609302660
Thus, we can understand that the LCM of 155,723,723,668,823 is 61609302660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 155, 723, 723, 668, 823?
Answer: LCM of 155, 723, 723, 668, 823 is 61609302660.
2. How to calculate the LCM of 155, 723, 723, 668, 823?
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 155, 723, 723, 668, 823.
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}.