LCM of 300, 280, 804, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 280, 804, 553 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 300, 280, 804, 553. So, keep reading to learn more.
Given numbers are 300,280,804,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,280,804,553 is 22230600.
Find LCM of 300,280,804,553 with Prime Factorization
| 2 | 300, 280, 804, 553 |
| 2 | 150, 140, 402, 553 |
| 3 | 75, 70, 201, 553 |
| 5 | 25, 70, 67, 553 |
| 7 | 5, 14, 67, 553 |
| 5, 2, 67, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 5 x 2 x 67 x 79 = 22230600
Therefore, the lowest common multiple of 300,280,804,553 is 22230600.
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.
300 x 280 x 804 x 553 = 37347408000
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,280,804,553, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
280:2x 2x 2x 5x 7
804:2x 2x 3x 67
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 5x 7 = 1680
Therefore, the value for common factors is 1680.
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 = 37347408000/(1x1680)
LCM = 37347408000/1680
LCM = 22230600
Thus, we can understand that the LCM of 300,280,804,553 is 22230600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 300, 280, 804, 553
1. What is the LCM of 300, 280, 804, 553?
Answer: LCM of 300, 280, 804, 553 is 22230600.
2. How to calculate the LCM of 300, 280, 804, 553?
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 300, 280, 804, 553.
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}.