LCM of 347, 303, 377, 165, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 303, 377, 165, 299 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 347, 303, 377, 165, 299. So, keep reading to learn more.
Given numbers are 347,303,377,165,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,303,377,165,299 is 50142268605.
Find LCM of 347,303,377,165,299 with Prime Factorization
| 3 | 347, 303, 377, 165, 299 |
| 13 | 347, 101, 377, 55, 299 |
| 347, 101, 29, 55, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 347 x 101 x 29 x 55 x 23 = 50142268605
Therefore, the lowest common multiple of 347,303,377,165,299 is 50142268605.
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.
347 x 303 x 377 x 165 x 299 = 1955548475595
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.
347 : 1, 347
303 : 1, 3, 101, 303
377 : 1, 13, 29, 377
165 : 1, 3, 5, 11, 15, 33, 55, 165
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,303,377,165,299, is 1.
Now, the common factors can be found like this.
347:347
303:3x 101
377:13x 29
165:3x 5x 11
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 1955548475595/(1x39)
LCM = 1955548475595/39
LCM = 50142268605
Thus, we can understand that the LCM of 347,303,377,165,299 is 50142268605.
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FAQs on LCM of 347, 303, 377, 165, 299
1. What is the LCM of 347, 303, 377, 165, 299?
Answer: LCM of 347, 303, 377, 165, 299 is 50142268605.
2. How to calculate the LCM of 347, 303, 377, 165, 299?
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 347, 303, 377, 165, 299.
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}.