LCM of 305, 340, 165, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 340, 165, 220 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 305, 340, 165, 220. So, keep reading to learn more.
Given numbers are 305,340,165,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,340,165,220 is 684420.
Find LCM of 305,340,165,220 with Prime Factorization
| 2 | 305, 340, 165, 220 |
| 2 | 305, 170, 165, 110 |
| 5 | 305, 85, 165, 55 |
| 11 | 61, 17, 33, 11 |
| 61, 17, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 61 x 17 x 3 x 1 = 684420
Therefore, the lowest common multiple of 305,340,165,220 is 684420.
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.
305 x 340 x 165 x 220 = 3764310000
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.
305 : 1, 5, 61, 305
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
165 : 1, 3, 5, 11, 15, 33, 55, 165
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,340,165,220, is 5.
Now, the common factors can be found like this.
305:5x 61
340:2x 2x 5x 17
165:3x 5x 11
220:2x 2x 5x 11
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 5x 11 = 1100
Therefore, the value for common factors is 1100.
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 = 3764310000/(5x1100)
LCM = 3764310000/5500
LCM = 684420
Thus, we can understand that the LCM of 305,340,165,220 is 684420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 340, 165, 220
1. What is the LCM of 305, 340, 165, 220?
Answer: LCM of 305, 340, 165, 220 is 684420.
2. How to calculate the LCM of 305, 340, 165, 220?
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 305, 340, 165, 220.
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}.