Find the LCM of 723, 466, 782, 932 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, 466, 782, 932. So, keep reading to learn more.
Given numbers are 723,466,782,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,466,782,932 is 263469876.
Find LCM of 723,466,782,932 with Prime Factorization
2 | 723, 466, 782, 932 |
233 | 723, 233, 391, 466 |
723, 1, 391, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 233 x 723 x 1 x 391 x 2 = 263469876
Therefore, the lowest common multiple of 723,466,782,932 is 263469876.
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 466 x 782 x 932 = 245553924432
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
466 : 1, 2, 233, 466
782 : 1, 2, 17, 23, 34, 46, 391, 782
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,466,782,932, is 1.
Now, the common factors can be found like this.
723:3x 241
466:2x 233
782:2x 17x 23
932:2x 2x 233
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 233 = 932
Therefore, the value for common factors is 932.
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 = 245553924432/(1x932)
LCM = 245553924432/932
LCM = 263469876
Thus, we can understand that the LCM of 723,466,782,932 is 263469876.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 466, 782, 932?
Answer: LCM of 723, 466, 782, 932 is 263469876.
2. How to calculate the LCM of 723, 466, 782, 932?
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, 466, 782, 932.
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}.