LCM of 334, 115, 174, 621, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 115, 174, 621, 270 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 334, 115, 174, 621, 270. So, keep reading to learn more.
Given numbers are 334,115,174,621,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,115,174,621,270 is 30075030.
Find LCM of 334,115,174,621,270 with Prime Factorization
| 2 | 334, 115, 174, 621, 270 |
| 3 | 167, 115, 87, 621, 135 |
| 3 | 167, 115, 29, 207, 45 |
| 3 | 167, 115, 29, 69, 15 |
| 5 | 167, 115, 29, 23, 5 |
| 23 | 167, 23, 29, 23, 1 |
| 167, 1, 29, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 23 x 167 x 1 x 29 x 1 x 1 = 30075030
Therefore, the lowest common multiple of 334,115,174,621,270 is 30075030.
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.
334 x 115 x 174 x 621 x 270 = 1120595617800
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.
334 : 1, 2, 167, 334
115 : 1, 5, 23, 115
174 : 1, 2, 3, 6, 29, 58, 87, 174
621 : 1, 3, 9, 23, 27, 69, 207, 621
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,115,174,621,270, is 1.
Now, the common factors can be found like this.
334:2x 167
115:5x 23
174:2x 3x 29
621:3x 3x 3x 23
270:2x 3x 3x 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 3x 3x 3x 3x 5x 23 = 37260
Therefore, the value for common factors is 37260.
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 = 1120595617800/(1x37260)
LCM = 1120595617800/37260
LCM = 30075030
Thus, we can understand that the LCM of 334,115,174,621,270 is 30075030.
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FAQs on LCM of 334, 115, 174, 621, 270
1. What is the LCM of 334, 115, 174, 621, 270?
Answer: LCM of 334, 115, 174, 621, 270 is 30075030.
2. How to calculate the LCM of 334, 115, 174, 621, 270?
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 334, 115, 174, 621, 270.
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}.