LCM of 859, 545, 675, 225, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 545, 675, 225, 432 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 859, 545, 675, 225, 432. So, keep reading to learn more.
Given numbers are 859,545,675,225,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,545,675,225,432 is 1011214800.
Find LCM of 859,545,675,225,432 with Prime Factorization
| 3 | 859, 545, 675, 225, 432 |
| 3 | 859, 545, 225, 75, 144 |
| 3 | 859, 545, 25, 75, 48 |
| 5 | 859, 545, 25, 25, 16 |
| 5 | 859, 109, 5, 5, 16 |
| 859, 109, 1, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 5 x 859 x 109 x 1 x 1 x 16 = 1011214800
Therefore, the lowest common multiple of 859,545,675,225,432 is 1011214800.
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.
859 x 545 x 675 x 225 x 432 = 30715649550000
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.
859 : 1, 859
545 : 1, 5, 109, 545
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,545,675,225,432, is 1.
Now, the common factors can be found like this.
859:859
545:5x 109
675:3x 3x 3x 5x 5
225:3x 3x 5x 5
432:2x 2x 2x 2x 3x 3x 3
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 3x 3x 3x 5x 5x 5 = 30375
Therefore, the value for common factors is 30375.
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 = 30715649550000/(1x30375)
LCM = 30715649550000/30375
LCM = 1011214800
Thus, we can understand that the LCM of 859,545,675,225,432 is 1011214800.
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FAQs on LCM of 859, 545, 675, 225, 432
1. What is the LCM of 859, 545, 675, 225, 432?
Answer: LCM of 859, 545, 675, 225, 432 is 1011214800.
2. How to calculate the LCM of 859, 545, 675, 225, 432?
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 859, 545, 675, 225, 432.
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}.