Find the LCM of 973, 380, 494, 785, 689 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 973, 380, 494, 785, 689. So, keep reading to learn more.
Given numbers are 973,380,494,785,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,380,494,785,689 is 39995885020.
Find LCM of 973,380,494,785,689 with Prime Factorization
2 | 973, 380, 494, 785, 689 |
5 | 973, 190, 247, 785, 689 |
13 | 973, 38, 247, 157, 689 |
19 | 973, 38, 19, 157, 53 |
973, 2, 1, 157, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 19 x 973 x 2 x 1 x 157 x 53 = 39995885020
Therefore, the lowest common multiple of 973,380,494,785,689 is 39995885020.
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.
973 x 380 x 494 x 785 x 689 = 98789835999400
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.
973 : 1, 7, 139, 973
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
494 : 1, 2, 13, 19, 26, 38, 247, 494
785 : 1, 5, 157, 785
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,380,494,785,689, is 1.
Now, the common factors can be found like this.
973:7x 139
380:2x 2x 5x 19
494:2x 13x 19
785:5x 157
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 19 = 2470
Therefore, the value for common factors is 2470.
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 = 98789835999400/(1x2470)
LCM = 98789835999400/2470
LCM = 39995885020
Thus, we can understand that the LCM of 973,380,494,785,689 is 39995885020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 380, 494, 785, 689?
Answer: LCM of 973, 380, 494, 785, 689 is 39995885020.
2. How to calculate the LCM of 973, 380, 494, 785, 689?
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 973, 380, 494, 785, 689.
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}.