LCM of 599, 720, 599, 675, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 720, 599, 675, 552 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 599, 720, 599, 675, 552. So, keep reading to learn more.
Given numbers are 599,720,599,675,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,720,599,675,552 is 148791600.
Find LCM of 599,720,599,675,552 with Prime Factorization
| 2 | 599, 720, 599, 675, 552 |
| 2 | 599, 360, 599, 675, 276 |
| 2 | 599, 180, 599, 675, 138 |
| 3 | 599, 90, 599, 675, 69 |
| 3 | 599, 30, 599, 225, 23 |
| 5 | 599, 10, 599, 75, 23 |
| 599 | 599, 2, 599, 15, 23 |
| 1, 2, 1, 15, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 599 x 1 x 2 x 1 x 15 x 23 = 148791600
Therefore, the lowest common multiple of 599,720,599,675,552 is 148791600.
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.
599 x 720 x 599 x 675 x 552 = 96256261872000
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.
599 : 1, 599
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
599 : 1, 599
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,720,599,675,552, is 1.
Now, the common factors can be found like this.
599:599
720:2x 2x 2x 2x 3x 3x 5
599:599
675:3x 3x 3x 5x 5
552:2x 2x 2x 3x 23
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 3x 3x 3x 5x 599 = 646920
Therefore, the value for common factors is 646920.
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 = 96256261872000/(1x646920)
LCM = 96256261872000/646920
LCM = 148791600
Thus, we can understand that the LCM of 599,720,599,675,552 is 148791600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 599, 720, 599, 675, 552
1. What is the LCM of 599, 720, 599, 675, 552?
Answer: LCM of 599, 720, 599, 675, 552 is 148791600.
2. How to calculate the LCM of 599, 720, 599, 675, 552?
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 599, 720, 599, 675, 552.
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}.