LCM of 205, 643, 680, 654, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 643, 680, 654, 120 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 205, 643, 680, 654, 120. So, keep reading to learn more.
Given numbers are 205,643,680,654,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,643,680,654,120 is 5862076680.
Find LCM of 205,643,680,654,120 with Prime Factorization
| 2 | 205, 643, 680, 654, 120 |
| 2 | 205, 643, 340, 327, 60 |
| 2 | 205, 643, 170, 327, 30 |
| 3 | 205, 643, 85, 327, 15 |
| 5 | 205, 643, 85, 109, 5 |
| 41, 643, 17, 109, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 41 x 643 x 17 x 109 x 1 = 5862076680
Therefore, the lowest common multiple of 205,643,680,654,120 is 5862076680.
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.
205 x 643 x 680 x 654 x 120 = 7034492016000
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.
205 : 1, 5, 41, 205
643 : 1, 643
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
654 : 1, 2, 3, 6, 109, 218, 327, 654
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,643,680,654,120, is 1.
Now, the common factors can be found like this.
205:5x 41
643:643
680:2x 2x 2x 5x 17
654:2x 3x 109
120:2x 2x 2x 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 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 7034492016000/(1x1200)
LCM = 7034492016000/1200
LCM = 5862076680
Thus, we can understand that the LCM of 205,643,680,654,120 is 5862076680.
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FAQs on LCM of 205, 643, 680, 654, 120
1. What is the LCM of 205, 643, 680, 654, 120?
Answer: LCM of 205, 643, 680, 654, 120 is 5862076680.
2. How to calculate the LCM of 205, 643, 680, 654, 120?
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 205, 643, 680, 654, 120.
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}.