LCM of 449, 170, 663, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 170, 663, 390 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 449, 170, 663, 390. So, keep reading to learn more.
Given numbers are 449,170,663,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,170,663,390 is 2976870.
Find LCM of 449,170,663,390 with Prime Factorization
| 2 | 449, 170, 663, 390 |
| 3 | 449, 85, 663, 195 |
| 5 | 449, 85, 221, 65 |
| 13 | 449, 17, 221, 13 |
| 17 | 449, 17, 17, 1 |
| 449, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 17 x 449 x 1 x 1 x 1 = 2976870
Therefore, the lowest common multiple of 449,170,663,390 is 2976870.
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.
449 x 170 x 663 x 390 = 19736648100
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.
449 : 1, 449
170 : 1, 2, 5, 10, 17, 34, 85, 170
663 : 1, 3, 13, 17, 39, 51, 221, 663
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,170,663,390, is 1.
Now, the common factors can be found like this.
449:449
170:2x 5x 17
663:3x 13x 17
390:2x 3x 5x 13
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 5x 13x 17 = 6630
Therefore, the value for common factors is 6630.
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 = 19736648100/(1x6630)
LCM = 19736648100/6630
LCM = 2976870
Thus, we can understand that the LCM of 449,170,663,390 is 2976870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 449, 170, 663, 390
1. What is the LCM of 449, 170, 663, 390?
Answer: LCM of 449, 170, 663, 390 is 2976870.
2. How to calculate the LCM of 449, 170, 663, 390?
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 449, 170, 663, 390.
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}.