LCM of 245, 384, 270, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 245, 384, 270, 493 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 245, 384, 270, 493. So, keep reading to learn more.
Given numbers are 245,384,270,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 245,384,270,493 is 417432960.
Find LCM of 245,384,270,493 with Prime Factorization
| 2 | 245, 384, 270, 493 |
| 3 | 245, 192, 135, 493 |
| 5 | 245, 64, 45, 493 |
| 49, 64, 9, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 49 x 64 x 9 x 493 = 417432960
Therefore, the lowest common multiple of 245,384,270,493 is 417432960.
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.
245 x 384 x 270 x 493 = 12522988800
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.
245 : 1, 5, 7, 35, 49, 245
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,384,270,493, is 1.
Now, the common factors can be found like this.
245:5x 7x 7
384:2x 2x 2x 2x 2x 2x 2x 3
270:2x 3x 3x 3x 5
493:17x 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 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 12522988800/(1x30)
LCM = 12522988800/30
LCM = 417432960
Thus, we can understand that the LCM of 245,384,270,493 is 417432960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 245, 384, 270, 493
1. What is the LCM of 245, 384, 270, 493?
Answer: LCM of 245, 384, 270, 493 is 417432960.
2. How to calculate the LCM of 245, 384, 270, 493?
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 245, 384, 270, 493.
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}.