LCM of 302, 825, 769, 215, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 825, 769, 215, 473 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 302, 825, 769, 215, 473. So, keep reading to learn more.
Given numbers are 302,825,769,215,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,825,769,215,473 is 8238643050.
Find LCM of 302,825,769,215,473 with Prime Factorization
| 5 | 302, 825, 769, 215, 473 |
| 11 | 302, 165, 769, 43, 473 |
| 43 | 302, 15, 769, 43, 43 |
| 302, 15, 769, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 43 x 302 x 15 x 769 x 1 x 1 = 8238643050
Therefore, the lowest common multiple of 302,825,769,215,473 is 8238643050.
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.
302 x 825 x 769 x 215 x 473 = 19484390813250
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.
302 : 1, 2, 151, 302
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
769 : 1, 769
215 : 1, 5, 43, 215
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,825,769,215,473, is 1.
Now, the common factors can be found like this.
302:2x 151
825:3x 5x 5x 11
769:769
215:5x 43
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 43 = 2365
Therefore, the value for common factors is 2365.
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 = 19484390813250/(1x2365)
LCM = 19484390813250/2365
LCM = 8238643050
Thus, we can understand that the LCM of 302,825,769,215,473 is 8238643050.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 302, 825, 769, 215, 473
1. What is the LCM of 302, 825, 769, 215, 473?
Answer: LCM of 302, 825, 769, 215, 473 is 8238643050.
2. How to calculate the LCM of 302, 825, 769, 215, 473?
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 302, 825, 769, 215, 473.
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}.