LCM of 484, 722, 352, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 722, 352, 442 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, 722, 352, 442. So, keep reading to learn more.
Given numbers are 484,722,352,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,722,352,442 is 308912032.
Find LCM of 484,722,352,442 with Prime Factorization
| 2 | 484, 722, 352, 442 |
| 2 | 242, 361, 176, 221 |
| 11 | 121, 361, 88, 221 |
| 11, 361, 8, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 361 x 8 x 221 = 308912032
Therefore, the lowest common multiple of 484,722,352,442 is 308912032.
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 722 x 352 x 442 = 54368517632
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
722 : 1, 2, 19, 38, 361, 722
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
442 : 1, 2, 13, 17, 26, 34, 221, 442
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,722,352,442, is 2.
Now, the common factors can be found like this.
484:2x 2x 11x 11
722:2x 19x 19
352:2x 2x 2x 2x 2x 11
442:2x 13x 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 11 = 88
Therefore, the value for common factors is 88.
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 = 54368517632/(2x88)
LCM = 54368517632/176
LCM = 308912032
Thus, we can understand that the LCM of 484,722,352,442 is 308912032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 722, 352, 442
1. What is the LCM of 484, 722, 352, 442?
Answer: LCM of 484, 722, 352, 442 is 308912032.
2. How to calculate the LCM of 484, 722, 352, 442?
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, 722, 352, 442.
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}.