LCM of 675, 780, 486, 814, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 675, 780, 486, 814, 901 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 675, 780, 486, 814, 901. So, keep reading to learn more.
Given numbers are 675,780,486,814,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,780,486,814,901 is 115842741300.
Find LCM of 675,780,486,814,901 with Prime Factorization
| 2 | 675, 780, 486, 814, 901 |
| 3 | 675, 390, 243, 407, 901 |
| 3 | 225, 130, 81, 407, 901 |
| 3 | 75, 130, 27, 407, 901 |
| 5 | 25, 130, 9, 407, 901 |
| 5, 26, 9, 407, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 5 x 26 x 9 x 407 x 901 = 115842741300
Therefore, the lowest common multiple of 675,780,486,814,901 is 115842741300.
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.
675 x 780 x 486 x 814 x 901 = 187665240906000
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.
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
814 : 1, 2, 11, 22, 37, 74, 407, 814
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,780,486,814,901, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
780:2x 2x 3x 5x 13
486:2x 3x 3x 3x 3x 3
814:2x 11x 37
901:17x 53
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 3x 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 187665240906000/(1x1620)
LCM = 187665240906000/1620
LCM = 115842741300
Thus, we can understand that the LCM of 675,780,486,814,901 is 115842741300.
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FAQs on LCM of 675, 780, 486, 814, 901
1. What is the LCM of 675, 780, 486, 814, 901?
Answer: LCM of 675, 780, 486, 814, 901 is 115842741300.
2. How to calculate the LCM of 675, 780, 486, 814, 901?
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 675, 780, 486, 814, 901.
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}.