LCM of 565, 950, 900, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 950, 900, 321 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 565, 950, 900, 321. So, keep reading to learn more.
Given numbers are 565,950,900,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,950,900,321 is 206756100.
Find LCM of 565,950,900,321 with Prime Factorization
| 2 | 565, 950, 900, 321 |
| 3 | 565, 475, 450, 321 |
| 5 | 565, 475, 150, 107 |
| 5 | 113, 95, 30, 107 |
| 113, 19, 6, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 113 x 19 x 6 x 107 = 206756100
Therefore, the lowest common multiple of 565,950,900,321 is 206756100.
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.
565 x 950 x 900 x 321 = 155067075000
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.
565 : 1, 5, 113, 565
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,950,900,321, is 1.
Now, the common factors can be found like this.
565:5x 113
950:2x 5x 5x 19
900:2x 2x 3x 3x 5x 5
321:3x 107
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 5x 5x 5 = 750
Therefore, the value for common factors is 750.
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 = 155067075000/(1x750)
LCM = 155067075000/750
LCM = 206756100
Thus, we can understand that the LCM of 565,950,900,321 is 206756100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 950, 900, 321
1. What is the LCM of 565, 950, 900, 321?
Answer: LCM of 565, 950, 900, 321 is 206756100.
2. How to calculate the LCM of 565, 950, 900, 321?
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 565, 950, 900, 321.
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}.