LCM of 728, 638, 676, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 638, 676, 284 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 728, 638, 676, 284. So, keep reading to learn more.
Given numbers are 728,638,676,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,638,676,284 is 214350136.
Find LCM of 728,638,676,284 with Prime Factorization
| 2 | 728, 638, 676, 284 |
| 2 | 364, 319, 338, 142 |
| 13 | 182, 319, 169, 71 |
| 14, 319, 13, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 14 x 319 x 13 x 71 = 214350136
Therefore, the lowest common multiple of 728,638,676,284 is 214350136.
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.
728 x 638 x 676 x 284 = 89169656576
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
638 : 1, 2, 11, 22, 29, 58, 319, 638
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
284 : 1, 2, 4, 71, 142, 284
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,638,676,284, is 2.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
638:2x 11x 29
676:2x 2x 13x 13
284:2x 2x 71
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 13 = 208
Therefore, the value for common factors is 208.
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 = 89169656576/(2x208)
LCM = 89169656576/416
LCM = 214350136
Thus, we can understand that the LCM of 728,638,676,284 is 214350136.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 728, 638, 676, 284
1. What is the LCM of 728, 638, 676, 284?
Answer: LCM of 728, 638, 676, 284 is 214350136.
2. How to calculate the LCM of 728, 638, 676, 284?
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 728, 638, 676, 284.
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}.