LCM of 484, 583, 724, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 583, 724, 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 484, 583, 724, 696. So, keep reading to learn more.
Given numbers are 484,583,724,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,583,724,696 is 807884088.
Find LCM of 484,583,724,696 with Prime Factorization
| 2 | 484, 583, 724, 696 |
| 2 | 242, 583, 362, 348 |
| 11 | 121, 583, 181, 174 |
| 11, 53, 181, 174 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 53 x 181 x 174 = 807884088
Therefore, the lowest common multiple of 484,583,724,696 is 807884088.
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.
484 x 583 x 724 x 696 = 142187599488
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
583 : 1, 11, 53, 583
724 : 1, 2, 4, 181, 362, 724
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 484,583,724,696, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
583:11x 53
724:2x 2x 181
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 142187599488/(1x176)
LCM = 142187599488/176
LCM = 807884088
Thus, we can understand that the LCM of 484,583,724,696 is 807884088.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 583, 724, 696
1. What is the LCM of 484, 583, 724, 696?
Answer: LCM of 484, 583, 724, 696 is 807884088.
2. How to calculate the LCM of 484, 583, 724, 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 484, 583, 724, 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}.