LCM of 490, 443, 886, 307, 582
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 443, 886, 307, 582 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 490, 443, 886, 307, 582. So, keep reading to learn more.
Given numbers are 490,443,886,307,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,443,886,307,582 is 19392382590.
Find LCM of 490,443,886,307,582 with Prime Factorization
| 2 | 490, 443, 886, 307, 582 |
| 443 | 245, 443, 443, 307, 291 |
| 245, 1, 1, 307, 291 |
Multiply the prime numbers at the bottom and the left side.
2 x 443 x 245 x 1 x 1 x 307 x 291 = 19392382590
Therefore, the lowest common multiple of 490,443,886,307,582 is 19392382590.
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.
490 x 443 x 886 x 307 x 582 = 34363301949480
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
443 : 1, 443
886 : 1, 2, 443, 886
307 : 1, 307
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,443,886,307,582, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
443:443
886:2x 443
307:307
582:2x 3x 97
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 443 = 1772
Therefore, the value for common factors is 1772.
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 = 34363301949480/(1x1772)
LCM = 34363301949480/1772
LCM = 19392382590
Thus, we can understand that the LCM of 490,443,886,307,582 is 19392382590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 490, 443, 886, 307, 582
1. What is the LCM of 490, 443, 886, 307, 582?
Answer: LCM of 490, 443, 886, 307, 582 is 19392382590.
2. How to calculate the LCM of 490, 443, 886, 307, 582?
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 490, 443, 886, 307, 582.
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}.