LCM of 471, 490, 749, 808, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 490, 749, 808, 665 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 471, 490, 749, 808, 665. So, keep reading to learn more.
Given numbers are 471,490,749,808,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,490,749,808,665 is 189555212280.
Find LCM of 471,490,749,808,665 with Prime Factorization
| 2 | 471, 490, 749, 808, 665 |
| 5 | 471, 245, 749, 404, 665 |
| 7 | 471, 49, 749, 404, 133 |
| 471, 7, 107, 404, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 471 x 7 x 107 x 404 x 19 = 189555212280
Therefore, the lowest common multiple of 471,490,749,808,665 is 189555212280.
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.
471 x 490 x 749 x 808 x 665 = 92882054017200
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.
471 : 1, 3, 157, 471
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
749 : 1, 7, 107, 749
808 : 1, 2, 4, 8, 101, 202, 404, 808
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,490,749,808,665, is 1.
Now, the common factors can be found like this.
471:3x 157
490:2x 5x 7x 7
749:7x 107
808:2x 2x 2x 101
665:5x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 7 = 490
Therefore, the value for common factors is 490.
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 = 92882054017200/(1x490)
LCM = 92882054017200/490
LCM = 189555212280
Thus, we can understand that the LCM of 471,490,749,808,665 is 189555212280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 490, 749, 808, 665
1. What is the LCM of 471, 490, 749, 808, 665?
Answer: LCM of 471, 490, 749, 808, 665 is 189555212280.
2. How to calculate the LCM of 471, 490, 749, 808, 665?
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 471, 490, 749, 808, 665.
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}.