LCM of 724, 457, 696, 724, 157
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 457, 696, 724, 157 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, 696, 724, 157. So, keep reading to learn more.
Given numbers are 724,457,696,724,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,457,696,724,157 is 9038652024.
Find LCM of 724,457,696,724,157 with Prime Factorization
| 2 | 724, 457, 696, 724, 157 |
| 2 | 362, 457, 348, 362, 157 |
| 181 | 181, 457, 174, 181, 157 |
| 1, 457, 174, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 181 x 1 x 457 x 174 x 1 x 157 = 9038652024
Therefore, the lowest common multiple of 724,457,696,724,157 is 9038652024.
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 696 x 724 x 157 = 26175936261504
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
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
724 : 1, 2, 4, 181, 362, 724
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,457,696,724,157, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
457:457
696:2x 2x 2x 3x 29
724:2x 2x 181
157:157
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 181 = 2896
Therefore, the value for common factors is 2896.
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 = 26175936261504/(1x2896)
LCM = 26175936261504/2896
LCM = 9038652024
Thus, we can understand that the LCM of 724,457,696,724,157 is 9038652024.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 724, 457, 696, 724, 157
1. What is the LCM of 724, 457, 696, 724, 157?
Answer: LCM of 724, 457, 696, 724, 157 is 9038652024.
2. How to calculate the LCM of 724, 457, 696, 724, 157?
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, 696, 724, 157.
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}.