LCM of 130, 696, 493, 678, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 696, 493, 678, 748 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 130, 696, 493, 678, 748. So, keep reading to learn more.
Given numbers are 130,696,493,678,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,696,493,678,748 is 955966440.
Find LCM of 130,696,493,678,748 with Prime Factorization
| 2 | 130, 696, 493, 678, 748 |
| 2 | 65, 348, 493, 339, 374 |
| 3 | 65, 174, 493, 339, 187 |
| 17 | 65, 58, 493, 113, 187 |
| 29 | 65, 58, 29, 113, 11 |
| 65, 2, 1, 113, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 29 x 65 x 2 x 1 x 113 x 11 = 955966440
Therefore, the lowest common multiple of 130,696,493,678,748 is 955966440.
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.
130 x 696 x 493 x 678 x 748 = 22621989836160
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
493 : 1, 17, 29, 493
678 : 1, 2, 3, 6, 113, 226, 339, 678
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,696,493,678,748, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
696:2x 2x 2x 3x 29
493:17x 29
678:2x 3x 113
748:2x 2x 11x 17
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 3x 17x 29 = 23664
Therefore, the value for common factors is 23664.
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 = 22621989836160/(1x23664)
LCM = 22621989836160/23664
LCM = 955966440
Thus, we can understand that the LCM of 130,696,493,678,748 is 955966440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 130, 696, 493, 678, 748
1. What is the LCM of 130, 696, 493, 678, 748?
Answer: LCM of 130, 696, 493, 678, 748 is 955966440.
2. How to calculate the LCM of 130, 696, 493, 678, 748?
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 130, 696, 493, 678, 748.
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}.