LCM of 484, 723, 296, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 723, 296, 962 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, 723, 296, 962. So, keep reading to learn more.
Given numbers are 484,723,296,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,723,296,962 is 336634584.
Find LCM of 484,723,296,962 with Prime Factorization
| 2 | 484, 723, 296, 962 |
| 2 | 242, 723, 148, 481 |
| 37 | 121, 723, 74, 481 |
| 121, 723, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 121 x 723 x 2 x 13 = 336634584
Therefore, the lowest common multiple of 484,723,296,962 is 336634584.
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 723 x 296 x 962 = 99643836864
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
723 : 1, 3, 241, 723
296 : 1, 2, 4, 8, 37, 74, 148, 296
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,723,296,962, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
723:3x 241
296:2x 2x 2x 37
962:2x 13x 37
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 37 = 296
Therefore, the value for common factors is 296.
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 = 99643836864/(1x296)
LCM = 99643836864/296
LCM = 336634584
Thus, we can understand that the LCM of 484,723,296,962 is 336634584.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 723, 296, 962
1. What is the LCM of 484, 723, 296, 962?
Answer: LCM of 484, 723, 296, 962 is 336634584.
2. How to calculate the LCM of 484, 723, 296, 962?
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, 723, 296, 962.
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}.