LCM of 814, 638, 676, 964, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 638, 676, 964, 446 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 814, 638, 676, 964, 446. So, keep reading to learn more.
Given numbers are 814,638,676,964,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,638,676,964,446 is 428806153204.
Find LCM of 814,638,676,964,446 with Prime Factorization
| 2 | 814, 638, 676, 964, 446 |
| 2 | 407, 319, 338, 482, 223 |
| 11 | 407, 319, 169, 241, 223 |
| 37, 29, 169, 241, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 29 x 169 x 241 x 223 = 428806153204
Therefore, the lowest common multiple of 814,638,676,964,446 is 428806153204.
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.
814 x 638 x 676 x 964 x 446 = 150939765927808
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
638 : 1, 2, 11, 22, 29, 58, 319, 638
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
964 : 1, 2, 4, 241, 482, 964
446 : 1, 2, 223, 446
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,638,676,964,446, is 2.
Now, the common factors can be found like this.
814:2x 11x 37
638:2x 11x 29
676:2x 2x 13x 13
964:2x 2x 241
446:2x 223
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 2x 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 150939765927808/(2x176)
LCM = 150939765927808/352
LCM = 428806153204
Thus, we can understand that the LCM of 814,638,676,964,446 is 428806153204.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 638, 676, 964, 446
1. What is the LCM of 814, 638, 676, 964, 446?
Answer: LCM of 814, 638, 676, 964, 446 is 428806153204.
2. How to calculate the LCM of 814, 638, 676, 964, 446?
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 814, 638, 676, 964, 446.
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}.