LCM of 759, 600, 360, 678, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 600, 360, 678, 810 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 759, 600, 360, 678, 810. So, keep reading to learn more.
Given numbers are 759,600,360,678,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,600,360,678,810 is 463141800.
Find LCM of 759,600,360,678,810 with Prime Factorization
| 2 | 759, 600, 360, 678, 810 |
| 2 | 759, 300, 180, 339, 405 |
| 2 | 759, 150, 90, 339, 405 |
| 3 | 759, 75, 45, 339, 405 |
| 3 | 253, 25, 15, 113, 135 |
| 5 | 253, 25, 5, 113, 45 |
| 253, 1, 5, 113, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 253 x 1 x 5 x 113 x 9 = 463141800
Therefore, the lowest common multiple of 759,600,360,678,810 is 463141800.
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.
759 x 600 x 360 x 678 x 810 = 90034765920000
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
678 : 1, 2, 3, 6, 113, 226, 339, 678
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,600,360,678,810, is 3.
Now, the common factors can be found like this.
759:3x 11x 23
600:2x 2x 2x 3x 5x 5
360:2x 2x 2x 3x 3x 5
678:2x 3x 113
810:2x 3x 3x 3x 3x 5
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 2x 3x 3x 3x 3x 5x 5 = 64800
Therefore, the value for common factors is 64800.
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 = 90034765920000/(3x64800)
LCM = 90034765920000/194400
LCM = 463141800
Thus, we can understand that the LCM of 759,600,360,678,810 is 463141800.
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FAQs on LCM of 759, 600, 360, 678, 810
1. What is the LCM of 759, 600, 360, 678, 810?
Answer: LCM of 759, 600, 360, 678, 810 is 463141800.
2. How to calculate the LCM of 759, 600, 360, 678, 810?
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 759, 600, 360, 678, 810.
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}.