LCM of 469, 794, 473, 870, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 794, 473, 870, 203 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 469, 794, 473, 870, 203. So, keep reading to learn more.
Given numbers are 469,794,473,870,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,794,473,870,203 is 76620281430.
Find LCM of 469,794,473,870,203 with Prime Factorization
| 2 | 469, 794, 473, 870, 203 |
| 7 | 469, 397, 473, 435, 203 |
| 29 | 67, 397, 473, 435, 29 |
| 67, 397, 473, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 67 x 397 x 473 x 15 x 1 = 76620281430
Therefore, the lowest common multiple of 469,794,473,870,203 is 76620281430.
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.
469 x 794 x 473 x 870 x 203 = 31107834260580
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.
469 : 1, 7, 67, 469
794 : 1, 2, 397, 794
473 : 1, 11, 43, 473
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,794,473,870,203, is 1.
Now, the common factors can be found like this.
469:7x 67
794:2x 397
473:11x 43
870:2x 3x 5x 29
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 29 = 406
Therefore, the value for common factors is 406.
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 = 31107834260580/(1x406)
LCM = 31107834260580/406
LCM = 76620281430
Thus, we can understand that the LCM of 469,794,473,870,203 is 76620281430.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 469, 794, 473, 870, 203
1. What is the LCM of 469, 794, 473, 870, 203?
Answer: LCM of 469, 794, 473, 870, 203 is 76620281430.
2. How to calculate the LCM of 469, 794, 473, 870, 203?
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 469, 794, 473, 870, 203.
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}.