LCM of 441, 490, 323, 170, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 490, 323, 170, 568 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 441, 490, 323, 170, 568. So, keep reading to learn more.
Given numbers are 441,490,323,170,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,490,323,170,568 is 404538120.
Find LCM of 441,490,323,170,568 with Prime Factorization
| 2 | 441, 490, 323, 170, 568 |
| 5 | 441, 245, 323, 85, 284 |
| 7 | 441, 49, 323, 17, 284 |
| 7 | 63, 7, 323, 17, 284 |
| 17 | 9, 1, 323, 17, 284 |
| 9, 1, 19, 1, 284 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 17 x 9 x 1 x 19 x 1 x 284 = 404538120
Therefore, the lowest common multiple of 441,490,323,170,568 is 404538120.
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.
441 x 490 x 323 x 170 x 568 = 6739605079200
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
323 : 1, 17, 19, 323
170 : 1, 2, 5, 10, 17, 34, 85, 170
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,490,323,170,568, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
490:2x 5x 7x 7
323:17x 19
170:2x 5x 17
568:2x 2x 2x 71
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 5x 7x 7x 17 = 16660
Therefore, the value for common factors is 16660.
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 = 6739605079200/(1x16660)
LCM = 6739605079200/16660
LCM = 404538120
Thus, we can understand that the LCM of 441,490,323,170,568 is 404538120.
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FAQs on LCM of 441, 490, 323, 170, 568
1. What is the LCM of 441, 490, 323, 170, 568?
Answer: LCM of 441, 490, 323, 170, 568 is 404538120.
2. How to calculate the LCM of 441, 490, 323, 170, 568?
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 441, 490, 323, 170, 568.
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}.