LCM of 660, 845, 546, 242, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 845, 546, 242, 612 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 660, 845, 546, 242, 612. So, keep reading to learn more.
Given numbers are 660,845,546,242,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,845,546,242,612 is 438017580.
Find LCM of 660,845,546,242,612 with Prime Factorization
| 2 | 660, 845, 546, 242, 612 |
| 2 | 330, 845, 273, 121, 306 |
| 3 | 165, 845, 273, 121, 153 |
| 5 | 55, 845, 91, 121, 51 |
| 11 | 11, 169, 91, 121, 51 |
| 13 | 1, 169, 91, 11, 51 |
| 1, 13, 7, 11, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 13 x 1 x 13 x 7 x 11 x 51 = 438017580
Therefore, the lowest common multiple of 660,845,546,242,612 is 438017580.
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.
660 x 845 x 546 x 242 x 612 = 45098290036800
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
845 : 1, 5, 13, 65, 169, 845
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
242 : 1, 2, 11, 22, 121, 242
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,845,546,242,612, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
845:5x 13x 13
546:2x 3x 7x 13
242:2x 11x 11
612:2x 2x 3x 3x 17
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 3x 3x 5x 11x 13 = 102960
Therefore, the value for common factors is 102960.
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 = 45098290036800/(1x102960)
LCM = 45098290036800/102960
LCM = 438017580
Thus, we can understand that the LCM of 660,845,546,242,612 is 438017580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 660, 845, 546, 242, 612
1. What is the LCM of 660, 845, 546, 242, 612?
Answer: LCM of 660, 845, 546, 242, 612 is 438017580.
2. How to calculate the LCM of 660, 845, 546, 242, 612?
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 660, 845, 546, 242, 612.
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}.