LCM of 671, 728, 910, 523, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 728, 910, 523, 762 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 671, 728, 910, 523, 762. So, keep reading to learn more.
Given numbers are 671,728,910,523,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,728,910,523,762 is 486687921720.
Find LCM of 671,728,910,523,762 with Prime Factorization
| 2 | 671, 728, 910, 523, 762 |
| 7 | 671, 364, 455, 523, 381 |
| 13 | 671, 52, 65, 523, 381 |
| 671, 4, 5, 523, 381 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 671 x 4 x 5 x 523 x 381 = 486687921720
Therefore, the lowest common multiple of 671,728,910,523,762 is 486687921720.
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.
671 x 728 x 910 x 523 x 762 = 177154403506080
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.
671 : 1, 11, 61, 671
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
523 : 1, 523
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,728,910,523,762, is 1.
Now, the common factors can be found like this.
671:11x 61
728:2x 2x 2x 7x 13
910:2x 5x 7x 13
523:523
762:2x 3x 127
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 7x 13 = 364
Therefore, the value for common factors is 364.
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 = 177154403506080/(1x364)
LCM = 177154403506080/364
LCM = 486687921720
Thus, we can understand that the LCM of 671,728,910,523,762 is 486687921720.
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FAQs on LCM of 671, 728, 910, 523, 762
1. What is the LCM of 671, 728, 910, 523, 762?
Answer: LCM of 671, 728, 910, 523, 762 is 486687921720.
2. How to calculate the LCM of 671, 728, 910, 523, 762?
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 671, 728, 910, 523, 762.
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}.