LCM of 498, 768, 224, 838, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 768, 224, 838, 184 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 498, 768, 224, 838, 184. So, keep reading to learn more.
Given numbers are 498,768,224,838,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,768,224,838,184 is 4300106496.
Find LCM of 498,768,224,838,184 with Prime Factorization
| 2 | 498, 768, 224, 838, 184 |
| 2 | 249, 384, 112, 419, 92 |
| 2 | 249, 192, 56, 419, 46 |
| 2 | 249, 96, 28, 419, 23 |
| 2 | 249, 48, 14, 419, 23 |
| 3 | 249, 24, 7, 419, 23 |
| 83, 8, 7, 419, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 83 x 8 x 7 x 419 x 23 = 4300106496
Therefore, the lowest common multiple of 498,768,224,838,184 is 4300106496.
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.
498 x 768 x 224 x 838 x 184 = 13209927155712
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
838 : 1, 2, 419, 838
184 : 1, 2, 4, 8, 23, 46, 92, 184
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,768,224,838,184, is 2.
Now, the common factors can be found like this.
498:2x 3x 83
768:2x 2x 2x 2x 2x 2x 2x 2x 3
224:2x 2x 2x 2x 2x 7
838:2x 419
184:2x 2x 2x 23
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 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 13209927155712/(2x1536)
LCM = 13209927155712/3072
LCM = 4300106496
Thus, we can understand that the LCM of 498,768,224,838,184 is 4300106496.
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FAQs on LCM of 498, 768, 224, 838, 184
1. What is the LCM of 498, 768, 224, 838, 184?
Answer: LCM of 498, 768, 224, 838, 184 is 4300106496.
2. How to calculate the LCM of 498, 768, 224, 838, 184?
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 498, 768, 224, 838, 184.
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}.