LCM of 728, 242, 762, 458, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 242, 762, 458, 844 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, 242, 762, 458, 844. So, keep reading to learn more.
Given numbers are 728,242,762,458,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,242,762,458,844 is 1621659471432.
Find LCM of 728,242,762,458,844 with Prime Factorization
| 2 | 728, 242, 762, 458, 844 |
| 2 | 364, 121, 381, 229, 422 |
| 182, 121, 381, 229, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 182 x 121 x 381 x 229 x 211 = 1621659471432
Therefore, the lowest common multiple of 728,242,762,458,844 is 1621659471432.
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 242 x 762 x 458 x 844 = 51893103085824
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
242 : 1, 2, 11, 22, 121, 242
762 : 1, 2, 3, 6, 127, 254, 381, 762
458 : 1, 2, 229, 458
844 : 1, 2, 4, 211, 422, 844
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,242,762,458,844, is 2.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
242:2x 11x 11
762:2x 3x 127
458:2x 229
844:2x 2x 211
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 2 = 16
Therefore, the value for common factors is 16.
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 = 51893103085824/(2x16)
LCM = 51893103085824/32
LCM = 1621659471432
Thus, we can understand that the LCM of 728,242,762,458,844 is 1621659471432.
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FAQs on LCM of 728, 242, 762, 458, 844
1. What is the LCM of 728, 242, 762, 458, 844?
Answer: LCM of 728, 242, 762, 458, 844 is 1621659471432.
2. How to calculate the LCM of 728, 242, 762, 458, 844?
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, 242, 762, 458, 844.
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}.