LCM of 641, 428, 271, 756, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 641, 428, 271, 756, 514 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 641, 428, 271, 756, 514. So, keep reading to learn more.
Given numbers are 641,428,271,756,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,428,271,756,514 is 3611320364484.
Find LCM of 641,428,271,756,514 with Prime Factorization
| 2 | 641, 428, 271, 756, 514 |
| 2 | 641, 214, 271, 378, 257 |
| 641, 107, 271, 189, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 641 x 107 x 271 x 189 x 257 = 3611320364484
Therefore, the lowest common multiple of 641,428,271,756,514 is 3611320364484.
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.
641 x 428 x 271 x 756 x 514 = 28890562915872
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.
641 : 1, 641
428 : 1, 2, 4, 107, 214, 428
271 : 1, 271
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,428,271,756,514, is 1.
Now, the common factors can be found like this.
641:641
428:2x 2x 107
271:271
756:2x 2x 3x 3x 3x 7
514:2x 257
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 2 = 8
Therefore, the value for common factors is 8.
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 = 28890562915872/(1x8)
LCM = 28890562915872/8
LCM = 3611320364484
Thus, we can understand that the LCM of 641,428,271,756,514 is 3611320364484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 641, 428, 271, 756, 514
1. What is the LCM of 641, 428, 271, 756, 514?
Answer: LCM of 641, 428, 271, 756, 514 is 3611320364484.
2. How to calculate the LCM of 641, 428, 271, 756, 514?
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 641, 428, 271, 756, 514.
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}.