Find the LCM of 923, 540, 718, 813 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 923, 540, 718, 813. So, keep reading to learn more.
Given numbers are 923,540,718,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,540,718,813 is 48490783380.
Find LCM of 923,540,718,813 with Prime Factorization
2 | 923, 540, 718, 813 |
3 | 923, 270, 359, 813 |
923, 90, 359, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 923 x 90 x 359 x 271 = 48490783380
Therefore, the lowest common multiple of 923,540,718,813 is 48490783380.
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.
923 x 540 x 718 x 813 = 290944700280
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.
923 : 1, 13, 71, 923
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
718 : 1, 2, 359, 718
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,540,718,813, is 1.
Now, the common factors can be found like this.
923:13x 71
540:2x 2x 3x 3x 3x 5
718:2x 359
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 290944700280/(1x6)
LCM = 290944700280/6
LCM = 48490783380
Thus, we can understand that the LCM of 923,540,718,813 is 48490783380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 923, 540, 718, 813?
Answer: LCM of 923, 540, 718, 813 is 48490783380.
2. How to calculate the LCM of 923, 540, 718, 813?
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 923, 540, 718, 813.
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}.