LCM of 741, 912, 703, 451, 439
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 912, 703, 451, 439 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 741, 912, 703, 451, 439. So, keep reading to learn more.
Given numbers are 741,912,703,451,439
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,912,703,451,439 is 86852230608.
Find LCM of 741,912,703,451,439 with Prime Factorization
| 3 | 741, 912, 703, 451, 439 |
| 19 | 247, 304, 703, 451, 439 |
| 13, 16, 37, 451, 439 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 13 x 16 x 37 x 451 x 439 = 86852230608
Therefore, the lowest common multiple of 741,912,703,451,439 is 86852230608.
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.
741 x 912 x 703 x 451 x 439 = 94060965748464
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
703 : 1, 19, 37, 703
451 : 1, 11, 41, 451
439 : 1, 439
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,912,703,451,439, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
912:2x 2x 2x 2x 3x 19
703:19x 37
451:11x 41
439:439
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 19 = 1083
Therefore, the value for common factors is 1083.
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 = 94060965748464/(1x1083)
LCM = 94060965748464/1083
LCM = 86852230608
Thus, we can understand that the LCM of 741,912,703,451,439 is 86852230608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 912, 703, 451, 439
1. What is the LCM of 741, 912, 703, 451, 439?
Answer: LCM of 741, 912, 703, 451, 439 is 86852230608.
2. How to calculate the LCM of 741, 912, 703, 451, 439?
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 741, 912, 703, 451, 439.
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}.