LCM of 751, 831, 609, 614, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 831, 609, 614, 546 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 751, 831, 609, 614, 546. So, keep reading to learn more.
Given numbers are 751,831,609,614,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,831,609,614,546 is 1011227152026.
Find LCM of 751,831,609,614,546 with Prime Factorization
| 2 | 751, 831, 609, 614, 546 |
| 3 | 751, 831, 609, 307, 273 |
| 7 | 751, 277, 203, 307, 91 |
| 751, 277, 29, 307, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 751 x 277 x 29 x 307 x 13 = 1011227152026
Therefore, the lowest common multiple of 751,831,609,614,546 is 1011227152026.
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.
751 x 831 x 609 x 614 x 546 = 127414621155276
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.
751 : 1, 751
831 : 1, 3, 277, 831
609 : 1, 3, 7, 21, 29, 87, 203, 609
614 : 1, 2, 307, 614
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,831,609,614,546, is 1.
Now, the common factors can be found like this.
751:751
831:3x 277
609:3x 7x 29
614:2x 307
546:2x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 127414621155276/(1x126)
LCM = 127414621155276/126
LCM = 1011227152026
Thus, we can understand that the LCM of 751,831,609,614,546 is 1011227152026.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 751, 831, 609, 614, 546
1. What is the LCM of 751, 831, 609, 614, 546?
Answer: LCM of 751, 831, 609, 614, 546 is 1011227152026.
2. How to calculate the LCM of 751, 831, 609, 614, 546?
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 751, 831, 609, 614, 546.
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}.