Find the LCM of 723, 156, 702, 701 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 723, 156, 702, 701. So, keep reading to learn more.
Given numbers are 723,156,702,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,156,702,701 is 237193164.
Find LCM of 723,156,702,701 with Prime Factorization
2 | 723, 156, 702, 701 |
3 | 723, 78, 351, 701 |
13 | 241, 26, 117, 701 |
241, 2, 9, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 241 x 2 x 9 x 701 = 237193164
Therefore, the lowest common multiple of 723,156,702,701 is 237193164.
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.
723 x 156 x 702 x 701 = 55503200376
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.
723 : 1, 3, 241, 723
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,156,702,701, is 1.
Now, the common factors can be found like this.
723:3x 241
156:2x 2x 3x 13
702:2x 3x 3x 3x 13
701:701
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 55503200376/(1x234)
LCM = 55503200376/234
LCM = 237193164
Thus, we can understand that the LCM of 723,156,702,701 is 237193164.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 156, 702, 701?
Answer: LCM of 723, 156, 702, 701 is 237193164.
2. How to calculate the LCM of 723, 156, 702, 701?
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 723, 156, 702, 701.
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}.