LCM of 577, 993, 759, 450, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 993, 759, 450, 805 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 577, 993, 759, 450, 805. So, keep reading to learn more.
Given numbers are 577,993,759,450,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,993,759,450,805 is 152207089650.
Find LCM of 577,993,759,450,805 with Prime Factorization
| 3 | 577, 993, 759, 450, 805 |
| 5 | 577, 331, 253, 150, 805 |
| 23 | 577, 331, 253, 30, 161 |
| 577, 331, 11, 30, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 577 x 331 x 11 x 30 x 7 = 152207089650
Therefore, the lowest common multiple of 577,993,759,450,805 is 152207089650.
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.
577 x 993 x 759 x 450 x 805 = 157534337787750
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.
577 : 1, 577
993 : 1, 3, 331, 993
759 : 1, 3, 11, 23, 33, 69, 253, 759
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,993,759,450,805, is 1.
Now, the common factors can be found like this.
577:577
993:3x 331
759:3x 11x 23
450:2x 3x 3x 5x 5
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 23 = 1035
Therefore, the value for common factors is 1035.
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 = 157534337787750/(1x1035)
LCM = 157534337787750/1035
LCM = 152207089650
Thus, we can understand that the LCM of 577,993,759,450,805 is 152207089650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 577, 993, 759, 450, 805
1. What is the LCM of 577, 993, 759, 450, 805?
Answer: LCM of 577, 993, 759, 450, 805 is 152207089650.
2. How to calculate the LCM of 577, 993, 759, 450, 805?
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 577, 993, 759, 450, 805.
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}.