Find the LCM of 469, 685, 950, 945, 658 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 469, 685, 950, 945, 658. So, keep reading to learn more.
Given numbers are 469,685,950,945,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,685,950,945,658 is 77460204150.
Find LCM of 469,685,950,945,658 with Prime Factorization
2 | 469, 685, 950, 945, 658 |
5 | 469, 685, 475, 945, 329 |
7 | 469, 137, 95, 189, 329 |
67, 137, 95, 27, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 67 x 137 x 95 x 27 x 47 = 77460204150
Therefore, the lowest common multiple of 469,685,950,945,658 is 77460204150.
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.
469 x 685 x 950 x 945 x 658 = 189777500167500
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.
469 : 1, 7, 67, 469
685 : 1, 5, 137, 685
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,685,950,945,658, is 1.
Now, the common factors can be found like this.
469:7x 67
685:5x 137
950:2x 5x 5x 19
945:3x 3x 3x 5x 7
658:2x 7x 47
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 5x 7x 7 = 2450
Therefore, the value for common factors is 2450.
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 = 189777500167500/(1x2450)
LCM = 189777500167500/2450
LCM = 77460204150
Thus, we can understand that the LCM of 469,685,950,945,658 is 77460204150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 685, 950, 945, 658?
Answer: LCM of 469, 685, 950, 945, 658 is 77460204150.
2. How to calculate the LCM of 469, 685, 950, 945, 658?
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 469, 685, 950, 945, 658.
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}.