LCM of 484, 143, 224, 362
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 143, 224, 362 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, 143, 224, 362. So, keep reading to learn more.
Given numbers are 484,143,224,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,143,224,362 is 63775712.
Find LCM of 484,143,224,362 with Prime Factorization
| 2 | 484, 143, 224, 362 |
| 2 | 242, 143, 112, 181 |
| 11 | 121, 143, 56, 181 |
| 11, 13, 56, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 13 x 56 x 181 = 63775712
Therefore, the lowest common multiple of 484,143,224,362 is 63775712.
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 143 x 224 x 362 = 5612262656
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
143 : 1, 11, 13, 143
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,143,224,362, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
143:11x 13
224:2x 2x 2x 2x 2x 7
362:2x 181
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 = 5612262656/(1x88)
LCM = 5612262656/88
LCM = 63775712
Thus, we can understand that the LCM of 484,143,224,362 is 63775712.
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FAQs on LCM of 484, 143, 224, 362
1. What is the LCM of 484, 143, 224, 362?
Answer: LCM of 484, 143, 224, 362 is 63775712.
2. How to calculate the LCM of 484, 143, 224, 362?
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, 143, 224, 362.
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}.