Find the LCM of 467, 493, 756, 317, 772 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 467, 493, 756, 317, 772. So, keep reading to learn more.
Given numbers are 467,493,756,317,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,493,756,317,772 is 10648836685116.
Find LCM of 467,493,756,317,772 with Prime Factorization
2 | 467, 493, 756, 317, 772 |
2 | 467, 493, 378, 317, 386 |
467, 493, 189, 317, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 467 x 493 x 189 x 317 x 193 = 10648836685116
Therefore, the lowest common multiple of 467,493,756,317,772 is 10648836685116.
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.
467 x 493 x 756 x 317 x 772 = 42595346740464
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.
467 : 1, 467
493 : 1, 17, 29, 493
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
317 : 1, 317
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,493,756,317,772, is 1.
Now, the common factors can be found like this.
467:467
493:17x 29
756:2x 2x 3x 3x 3x 7
317:317
772:2x 2x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 42595346740464/(1x4)
LCM = 42595346740464/4
LCM = 10648836685116
Thus, we can understand that the LCM of 467,493,756,317,772 is 10648836685116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 467, 493, 756, 317, 772?
Answer: LCM of 467, 493, 756, 317, 772 is 10648836685116.
2. How to calculate the LCM of 467, 493, 756, 317, 772?
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 467, 493, 756, 317, 772.
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}.