LCM of 180, 820, 101, 323, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 820, 101, 323, 355 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 180, 820, 101, 323, 355. So, keep reading to learn more.
Given numbers are 180,820,101,323,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,820,101,323,355 is 17093799540.
Find LCM of 180,820,101,323,355 with Prime Factorization
| 2 | 180, 820, 101, 323, 355 |
| 2 | 90, 410, 101, 323, 355 |
| 5 | 45, 205, 101, 323, 355 |
| 9, 41, 101, 323, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 9 x 41 x 101 x 323 x 71 = 17093799540
Therefore, the lowest common multiple of 180,820,101,323,355 is 17093799540.
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.
180 x 820 x 101 x 323 x 355 = 1709379954000
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
101 : 1, 101
323 : 1, 17, 19, 323
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,820,101,323,355, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
820:2x 2x 5x 41
101:101
323:17x 19
355:5x 71
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 1709379954000/(1x100)
LCM = 1709379954000/100
LCM = 17093799540
Thus, we can understand that the LCM of 180,820,101,323,355 is 17093799540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 180, 820, 101, 323, 355
1. What is the LCM of 180, 820, 101, 323, 355?
Answer: LCM of 180, 820, 101, 323, 355 is 17093799540.
2. How to calculate the LCM of 180, 820, 101, 323, 355?
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 180, 820, 101, 323, 355.
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}.