LCM of 408, 560, 540, 245
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 560, 540, 245 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 408, 560, 540, 245. So, keep reading to learn more.
Given numbers are 408,560,540,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,560,540,245 is 1799280.
Find LCM of 408,560,540,245 with Prime Factorization
| 2 | 408, 560, 540, 245 |
| 2 | 204, 280, 270, 245 |
| 2 | 102, 140, 135, 245 |
| 3 | 51, 70, 135, 245 |
| 5 | 17, 70, 45, 245 |
| 7 | 17, 14, 9, 49 |
| 17, 2, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 17 x 2 x 9 x 7 = 1799280
Therefore, the lowest common multiple of 408,560,540,245 is 1799280.
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.
408 x 560 x 540 x 245 = 30227904000
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,560,540,245, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
560:2x 2x 2x 2x 5x 7
540:2x 2x 3x 3x 3x 5
245:5x 7x 7
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 3x 5x 5x 7 = 16800
Therefore, the value for common factors is 16800.
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 = 30227904000/(1x16800)
LCM = 30227904000/16800
LCM = 1799280
Thus, we can understand that the LCM of 408,560,540,245 is 1799280.
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FAQs on LCM of 408, 560, 540, 245
1. What is the LCM of 408, 560, 540, 245?
Answer: LCM of 408, 560, 540, 245 is 1799280.
2. How to calculate the LCM of 408, 560, 540, 245?
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 408, 560, 540, 245.
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}.