Find the LCM of 684, 513, 968, 631 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 684, 513, 968, 631. So, keep reading to learn more.
Given numbers are 684,513,968,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,513,968,631 is 313344504.
Find LCM of 684,513,968,631 with Prime Factorization
2 | 684, 513, 968, 631 |
2 | 342, 513, 484, 631 |
3 | 171, 513, 242, 631 |
3 | 57, 171, 242, 631 |
19 | 19, 57, 242, 631 |
1, 3, 242, 631 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 1 x 3 x 242 x 631 = 313344504
Therefore, the lowest common multiple of 684,513,968,631 is 313344504.
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.
684 x 513 x 968 x 631 = 214327640736
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
513 : 1, 3, 9, 19, 27, 57, 171, 513
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,513,968,631, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
513:3x 3x 3x 19
968:2x 2x 2x 11x 11
631:631
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 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 214327640736/(1x684)
LCM = 214327640736/684
LCM = 313344504
Thus, we can understand that the LCM of 684,513,968,631 is 313344504.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 513, 968, 631?
Answer: LCM of 684, 513, 968, 631 is 313344504.
2. How to calculate the LCM of 684, 513, 968, 631?
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 684, 513, 968, 631.
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}.