LCM of 369, 815, 406, 189, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 815, 406, 189, 755 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 369, 815, 406, 189, 755. So, keep reading to learn more.
Given numbers are 369,815,406,189,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,815,406,189,755 is 55310579730.
Find LCM of 369,815,406,189,755 with Prime Factorization
| 3 | 369, 815, 406, 189, 755 |
| 3 | 123, 815, 406, 63, 755 |
| 5 | 41, 815, 406, 21, 755 |
| 7 | 41, 163, 406, 21, 151 |
| 41, 163, 58, 3, 151 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 41 x 163 x 58 x 3 x 151 = 55310579730
Therefore, the lowest common multiple of 369,815,406,189,755 is 55310579730.
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.
369 x 815 x 406 x 189 x 755 = 17422832614950
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.
369 : 1, 3, 9, 41, 123, 369
815 : 1, 5, 163, 815
406 : 1, 2, 7, 14, 29, 58, 203, 406
189 : 1, 3, 7, 9, 21, 27, 63, 189
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,815,406,189,755, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
815:5x 163
406:2x 7x 29
189:3x 3x 3x 7
755:5x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 17422832614950/(1x315)
LCM = 17422832614950/315
LCM = 55310579730
Thus, we can understand that the LCM of 369,815,406,189,755 is 55310579730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 369, 815, 406, 189, 755
1. What is the LCM of 369, 815, 406, 189, 755?
Answer: LCM of 369, 815, 406, 189, 755 is 55310579730.
2. How to calculate the LCM of 369, 815, 406, 189, 755?
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 369, 815, 406, 189, 755.
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}.