Find the LCM of 940, 737, 517, 506 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 940, 737, 517, 506. So, keep reading to learn more.
Given numbers are 940,737,517,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 940,737,517,506 is 15933940.
Find LCM of 940,737,517,506 with Prime Factorization
2 | 940, 737, 517, 506 |
11 | 470, 737, 517, 253 |
47 | 470, 67, 47, 23 |
10, 67, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 47 x 10 x 67 x 1 x 23 = 15933940
Therefore, the lowest common multiple of 940,737,517,506 is 15933940.
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.
940 x 737 x 517 x 506 = 181232633560
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.
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
737 : 1, 11, 67, 737
517 : 1, 11, 47, 517
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,737,517,506, is 1.
Now, the common factors can be found like this.
940:2x 2x 5x 47
737:11x 67
517:11x 47
506:2x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 47 = 11374
Therefore, the value for common factors is 11374.
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 = 181232633560/(1x11374)
LCM = 181232633560/11374
LCM = 15933940
Thus, we can understand that the LCM of 940,737,517,506 is 15933940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 940, 737, 517, 506?
Answer: LCM of 940, 737, 517, 506 is 15933940.
2. How to calculate the LCM of 940, 737, 517, 506?
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 940, 737, 517, 506.
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}.