LCM of 498, 176, 264, 319, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 176, 264, 319, 580 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, 176, 264, 319, 580. So, keep reading to learn more.
Given numbers are 498,176,264,319,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,176,264,319,580 is 6354480.
Find LCM of 498,176,264,319,580 with Prime Factorization
| 2 | 498, 176, 264, 319, 580 |
| 2 | 249, 88, 132, 319, 290 |
| 2 | 249, 44, 66, 319, 145 |
| 3 | 249, 22, 33, 319, 145 |
| 11 | 83, 22, 11, 319, 145 |
| 29 | 83, 2, 1, 29, 145 |
| 83, 2, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 29 x 83 x 2 x 1 x 1 x 5 = 6354480
Therefore, the lowest common multiple of 498,176,264,319,580 is 6354480.
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 176 x 264 x 319 x 580 = 4281191101440
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
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
319 : 1, 11, 29, 319
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,176,264,319,580, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
176:2x 2x 2x 2x 11
264:2x 2x 2x 3x 11
319:11x 29
580:2x 2x 5x 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 2x 2x 3x 11x 11x 29 = 673728
Therefore, the value for common factors is 673728.
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 = 4281191101440/(1x673728)
LCM = 4281191101440/673728
LCM = 6354480
Thus, we can understand that the LCM of 498,176,264,319,580 is 6354480.
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FAQs on LCM of 498, 176, 264, 319, 580
1. What is the LCM of 498, 176, 264, 319, 580?
Answer: LCM of 498, 176, 264, 319, 580 is 6354480.
2. How to calculate the LCM of 498, 176, 264, 319, 580?
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, 176, 264, 319, 580.
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}.