Find the LCM of 460, 968, 823, 484, 598 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 460, 968, 823, 484, 598. So, keep reading to learn more.
Given numbers are 460,968,823,484,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,968,823,484,598 is 1191012680.
Find LCM of 460,968,823,484,598 with Prime Factorization
2 | 460, 968, 823, 484, 598 |
2 | 230, 484, 823, 242, 299 |
11 | 115, 121, 823, 242, 299 |
11 | 115, 11, 823, 22, 299 |
23 | 115, 1, 823, 2, 299 |
5, 1, 823, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 23 x 5 x 1 x 823 x 2 x 13 = 1191012680
Therefore, the lowest common multiple of 460,968,823,484,598 is 1191012680.
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.
460 x 968 x 823 x 484 x 598 = 106066825230080
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
823 : 1, 823
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,968,823,484,598, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
968:2x 2x 2x 11x 11
823:823
484:2x 2x 11x 11
598:2x 13x 23
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 2x 2x 11x 11x 23 = 89056
Therefore, the value for common factors is 89056.
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 = 106066825230080/(1x89056)
LCM = 106066825230080/89056
LCM = 1191012680
Thus, we can understand that the LCM of 460,968,823,484,598 is 1191012680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 968, 823, 484, 598?
Answer: LCM of 460, 968, 823, 484, 598 is 1191012680.
2. How to calculate the LCM of 460, 968, 823, 484, 598?
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 460, 968, 823, 484, 598.
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}.