LCM of 575, 162, 473, 789, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 575, 162, 473, 789, 696 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 575, 162, 473, 789, 696. So, keep reading to learn more.
Given numbers are 575,162,473,789,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,162,473,789,696 is 1344180954600.
Find LCM of 575,162,473,789,696 with Prime Factorization
| 2 | 575, 162, 473, 789, 696 |
| 3 | 575, 81, 473, 789, 348 |
| 575, 27, 473, 263, 116 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 575 x 27 x 473 x 263 x 116 = 1344180954600
Therefore, the lowest common multiple of 575,162,473,789,696 is 1344180954600.
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.
575 x 162 x 473 x 789 x 696 = 24195257182800
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.
575 : 1, 5, 23, 25, 115, 575
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
473 : 1, 11, 43, 473
789 : 1, 3, 263, 789
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,162,473,789,696, is 1.
Now, the common factors can be found like this.
575:5x 5x 23
162:2x 3x 3x 3x 3
473:11x 43
789:3x 263
696:2x 2x 2x 3x 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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 24195257182800/(1x18)
LCM = 24195257182800/18
LCM = 1344180954600
Thus, we can understand that the LCM of 575,162,473,789,696 is 1344180954600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 575, 162, 473, 789, 696
1. What is the LCM of 575, 162, 473, 789, 696?
Answer: LCM of 575, 162, 473, 789, 696 is 1344180954600.
2. How to calculate the LCM of 575, 162, 473, 789, 696?
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 575, 162, 473, 789, 696.
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}.