Find the LCM of 517, 737, 155, 506, 753 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 517, 737, 155, 506, 753. So, keep reading to learn more.
Given numbers are 517,737,155,506,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,737,155,506,753 is 185972980710.
Find LCM of 517,737,155,506,753 with Prime Factorization
11 | 517, 737, 155, 506, 753 |
47, 67, 155, 46, 753 |
Multiply the prime numbers at the bottom and the left side.
11 x 47 x 67 x 155 x 46 x 753 = 185972980710
Therefore, the lowest common multiple of 517,737,155,506,753 is 185972980710.
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.
517 x 737 x 155 x 506 x 753 = 22502730665910
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.
517 : 1, 11, 47, 517
737 : 1, 11, 67, 737
155 : 1, 5, 31, 155
506 : 1, 2, 11, 22, 23, 46, 253, 506
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,737,155,506,753, is 1.
Now, the common factors can be found like this.
517:11x 47
737:11x 67
155:5x 31
506:2x 11x 23
753:3x 251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 22502730665910/(1x121)
LCM = 22502730665910/121
LCM = 185972980710
Thus, we can understand that the LCM of 517,737,155,506,753 is 185972980710.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 737, 155, 506, 753?
Answer: LCM of 517, 737, 155, 506, 753 is 185972980710.
2. How to calculate the LCM of 517, 737, 155, 506, 753?
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 517, 737, 155, 506, 753.
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}.