Find the LCM of 549, 696, 107, 348, 812 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 549, 696, 107, 348, 812. So, keep reading to learn more.
Given numbers are 549,696,107,348,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,696,107,348,812 is 95398632.
Find LCM of 549,696,107,348,812 with Prime Factorization
2 | 549, 696, 107, 348, 812 |
2 | 549, 348, 107, 174, 406 |
3 | 549, 87, 107, 174, 203 |
29 | 183, 29, 107, 58, 203 |
183, 1, 107, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 183 x 1 x 107 x 2 x 7 = 95398632
Therefore, the lowest common multiple of 549,696,107,348,812 is 95398632.
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.
549 x 696 x 107 x 348 x 812 = 11553155929728
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.
549 : 1, 3, 9, 61, 183, 549
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
107 : 1, 107
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,696,107,348,812, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
696:2x 2x 2x 3x 29
107:107
348:2x 2x 3x 29
812:2x 2x 7x 29
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 3x 29x 29 = 121104
Therefore, the value for common factors is 121104.
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 = 11553155929728/(1x121104)
LCM = 11553155929728/121104
LCM = 95398632
Thus, we can understand that the LCM of 549,696,107,348,812 is 95398632.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 549, 696, 107, 348, 812?
Answer: LCM of 549, 696, 107, 348, 812 is 95398632.
2. How to calculate the LCM of 549, 696, 107, 348, 812?
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 549, 696, 107, 348, 812.
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}.