LCM of 474, 588, 301, 668, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 588, 301, 668, 349 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 474, 588, 301, 668, 349. So, keep reading to learn more.
Given numbers are 474,588,301,668,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,588,301,668,349 is 116416562388.
Find LCM of 474,588,301,668,349 with Prime Factorization
| 2 | 474, 588, 301, 668, 349 |
| 2 | 237, 294, 301, 334, 349 |
| 3 | 237, 147, 301, 167, 349 |
| 7 | 79, 49, 301, 167, 349 |
| 79, 7, 43, 167, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 79 x 7 x 43 x 167 x 349 = 116416562388
Therefore, the lowest common multiple of 474,588,301,668,349 is 116416562388.
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.
474 x 588 x 301 x 668 x 349 = 19557982481184
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
301 : 1, 7, 43, 301
668 : 1, 2, 4, 167, 334, 668
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,588,301,668,349, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
588:2x 2x 3x 7x 7
301:7x 43
668:2x 2x 167
349:349
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 19557982481184/(1x168)
LCM = 19557982481184/168
LCM = 116416562388
Thus, we can understand that the LCM of 474,588,301,668,349 is 116416562388.
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FAQs on LCM of 474, 588, 301, 668, 349
1. What is the LCM of 474, 588, 301, 668, 349?
Answer: LCM of 474, 588, 301, 668, 349 is 116416562388.
2. How to calculate the LCM of 474, 588, 301, 668, 349?
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 474, 588, 301, 668, 349.
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}.