Find the LCM of 787, 476, 646, 460, 931 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 787, 476, 646, 460, 931. So, keep reading to learn more.
Given numbers are 787,476,646,460,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,476,646,460,931 is 5729690540.
Find LCM of 787,476,646,460,931 with Prime Factorization
2 | 787, 476, 646, 460, 931 |
2 | 787, 238, 323, 230, 931 |
7 | 787, 119, 323, 115, 931 |
17 | 787, 17, 323, 115, 133 |
19 | 787, 1, 19, 115, 133 |
787, 1, 1, 115, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 19 x 787 x 1 x 1 x 115 x 7 = 5729690540
Therefore, the lowest common multiple of 787,476,646,460,931 is 5729690540.
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.
787 x 476 x 646 x 460 x 931 = 103638642487520
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.
787 : 1, 787
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
646 : 1, 2, 17, 19, 34, 38, 323, 646
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,476,646,460,931, is 1.
Now, the common factors can be found like this.
787:787
476:2x 2x 7x 17
646:2x 17x 19
460:2x 2x 5x 23
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 7x 17x 19 = 18088
Therefore, the value for common factors is 18088.
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 = 103638642487520/(1x18088)
LCM = 103638642487520/18088
LCM = 5729690540
Thus, we can understand that the LCM of 787,476,646,460,931 is 5729690540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 787, 476, 646, 460, 931?
Answer: LCM of 787, 476, 646, 460, 931 is 5729690540.
2. How to calculate the LCM of 787, 476, 646, 460, 931?
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 787, 476, 646, 460, 931.
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}.