LCM of 845, 286, 745, 770, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 286, 745, 770, 668 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 845, 286, 745, 770, 668. So, keep reading to learn more.
Given numbers are 845,286,745,770,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,286,745,770,668 is 6476049580.
Find LCM of 845,286,745,770,668 with Prime Factorization
| 2 | 845, 286, 745, 770, 668 |
| 5 | 845, 143, 745, 385, 334 |
| 11 | 169, 143, 149, 77, 334 |
| 13 | 169, 13, 149, 7, 334 |
| 1, 13, 149, 7, 334 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 1 x 13 x 149 x 7 x 334 = 6476049580
Therefore, the lowest common multiple of 845,286,745,770,668 is 6476049580.
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.
845 x 286 x 745 x 770 x 668 = 92607508994000
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.
845 : 1, 5, 13, 65, 169, 845
286 : 1, 2, 11, 13, 22, 26, 143, 286
745 : 1, 5, 149, 745
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,286,745,770,668, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
286:2x 11x 13
745:5x 149
770:2x 5x 7x 11
668:2x 2x 167
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 5x 5x 11x 13 = 14300
Therefore, the value for common factors is 14300.
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 = 92607508994000/(1x14300)
LCM = 92607508994000/14300
LCM = 6476049580
Thus, we can understand that the LCM of 845,286,745,770,668 is 6476049580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 845, 286, 745, 770, 668
1. What is the LCM of 845, 286, 745, 770, 668?
Answer: LCM of 845, 286, 745, 770, 668 is 6476049580.
2. How to calculate the LCM of 845, 286, 745, 770, 668?
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 845, 286, 745, 770, 668.
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}.