LCM of 471, 527, 442, 421, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 527, 442, 421, 682 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, 527, 442, 421, 682. So, keep reading to learn more.
Given numbers are 471,527,442,421,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,527,442,421,682 is 29886816102.
Find LCM of 471,527,442,421,682 with Prime Factorization
| 2 | 471, 527, 442, 421, 682 |
| 17 | 471, 527, 221, 421, 341 |
| 31 | 471, 31, 13, 421, 341 |
| 471, 1, 13, 421, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 31 x 471 x 1 x 13 x 421 x 11 = 29886816102
Therefore, the lowest common multiple of 471,527,442,421,682 is 29886816102.
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 527 x 442 x 421 x 682 = 31500704171508
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
527 : 1, 17, 31, 527
442 : 1, 2, 13, 17, 26, 34, 221, 442
421 : 1, 421
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,527,442,421,682, is 1.
Now, the common factors can be found like this.
471:3x 157
527:17x 31
442:2x 13x 17
421:421
682:2x 11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 31 = 1054
Therefore, the value for common factors is 1054.
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 = 31500704171508/(1x1054)
LCM = 31500704171508/1054
LCM = 29886816102
Thus, we can understand that the LCM of 471,527,442,421,682 is 29886816102.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 527, 442, 421, 682
1. What is the LCM of 471, 527, 442, 421, 682?
Answer: LCM of 471, 527, 442, 421, 682 is 29886816102.
2. How to calculate the LCM of 471, 527, 442, 421, 682?
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, 527, 442, 421, 682.
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}.