Find the LCM of 724, 901, 306, 309, 696 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 724, 901, 306, 309, 696. So, keep reading to learn more.
Given numbers are 724,901,306,309,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,901,306,309,696 is 35072852184.
Find LCM of 724,901,306,309,696 with Prime Factorization
2 | 724, 901, 306, 309, 696 |
2 | 362, 901, 153, 309, 348 |
3 | 181, 901, 153, 309, 174 |
17 | 181, 901, 51, 103, 58 |
181, 53, 3, 103, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 181 x 53 x 3 x 103 x 58 = 35072852184
Therefore, the lowest common multiple of 724,901,306,309,696 is 35072852184.
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.
724 x 901 x 306 x 309 x 696 = 42929171073216
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.
724 : 1, 2, 4, 181, 362, 724
901 : 1, 17, 53, 901
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
309 : 1, 3, 103, 309
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,901,306,309,696, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
901:17x 53
306:2x 3x 3x 17
309:3x 103
696:2x 2x 2x 3x 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 3x 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 42929171073216/(1x1224)
LCM = 42929171073216/1224
LCM = 35072852184
Thus, we can understand that the LCM of 724,901,306,309,696 is 35072852184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 901, 306, 309, 696?
Answer: LCM of 724, 901, 306, 309, 696 is 35072852184.
2. How to calculate the LCM of 724, 901, 306, 309, 696?
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 724, 901, 306, 309, 696.
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}.