LCM of 369, 143, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 143, 390 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, 143, 390. So, keep reading to learn more.
Given numbers are 369,143,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,143,390 is 527670.
Find LCM of 369,143,390 with Prime Factorization
| 3 | 369, 143, 390 |
| 13 | 123, 143, 130 |
| 123, 11, 10 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 123 x 11 x 10 = 527670
Therefore, the lowest common multiple of 369,143,390 is 527670.
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 143 x 390 = 20579130
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
143 : 1, 11, 13, 143
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,143,390, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
143:11x 13
390:2x 3x 5x 13
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 = 20579130/(1x39)
LCM = 20579130/39
LCM = 527670
Thus, we can understand that the LCM of 369,143,390 is 527670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 369, 143, 390
1. What is the LCM of 369, 143, 390?
Answer: LCM of 369, 143, 390 is 527670.
2. How to calculate the LCM of 369, 143, 390?
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, 143, 390.
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}.