Find the LCM of 724, 457, 216, 693, 102 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, 457, 216, 693, 102. So, keep reading to learn more.
Given numbers are 724,457,216,693,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,457,216,693,102 is 23387735448.
Find LCM of 724,457,216,693,102 with Prime Factorization
2 | 724, 457, 216, 693, 102 |
2 | 362, 457, 108, 693, 51 |
3 | 181, 457, 54, 693, 51 |
3 | 181, 457, 18, 231, 17 |
181, 457, 6, 77, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 181 x 457 x 6 x 77 x 17 = 23387735448
Therefore, the lowest common multiple of 724,457,216,693,102 is 23387735448.
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 457 x 216 x 693 x 102 = 5051750856768
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
457 : 1, 457
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,457,216,693,102, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
457:457
216:2x 2x 2x 3x 3x 3
693:3x 3x 7x 11
102:2x 3x 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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 5051750856768/(1x216)
LCM = 5051750856768/216
LCM = 23387735448
Thus, we can understand that the LCM of 724,457,216,693,102 is 23387735448.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 457, 216, 693, 102?
Answer: LCM of 724, 457, 216, 693, 102 is 23387735448.
2. How to calculate the LCM of 724, 457, 216, 693, 102?
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, 457, 216, 693, 102.
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}.