LCM of 517, 684, 240, 748, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 684, 240, 748, 106 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 517, 684, 240, 748, 106. So, keep reading to learn more.
Given numbers are 517,684,240,748,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,684,240,748,106 is 6372376560.
Find LCM of 517,684,240,748,106 with Prime Factorization
| 2 | 517, 684, 240, 748, 106 |
| 2 | 517, 342, 120, 374, 53 |
| 3 | 517, 171, 60, 187, 53 |
| 11 | 517, 57, 20, 187, 53 |
| 47, 57, 20, 17, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 47 x 57 x 20 x 17 x 53 = 6372376560
Therefore, the lowest common multiple of 517,684,240,748,106 is 6372376560.
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.
517 x 684 x 240 x 748 x 106 = 6729229647360
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.
517 : 1, 11, 47, 517
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,684,240,748,106, is 1.
Now, the common factors can be found like this.
517:11x 47
684:2x 2x 3x 3x 19
240:2x 2x 2x 2x 3x 5
748:2x 2x 11x 17
106:2x 53
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 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 6729229647360/(1x1056)
LCM = 6729229647360/1056
LCM = 6372376560
Thus, we can understand that the LCM of 517,684,240,748,106 is 6372376560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 517, 684, 240, 748, 106
1. What is the LCM of 517, 684, 240, 748, 106?
Answer: LCM of 517, 684, 240, 748, 106 is 6372376560.
2. How to calculate the LCM of 517, 684, 240, 748, 106?
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 517, 684, 240, 748, 106.
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}.