LCM of 389, 447, 115, 391, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 389, 447, 115, 391, 618 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 389, 447, 115, 391, 618. So, keep reading to learn more.
Given numbers are 389,447,115,391,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,447,115,391,618 is 70027900590.
Find LCM of 389,447,115,391,618 with Prime Factorization
| 3 | 389, 447, 115, 391, 618 |
| 23 | 389, 149, 115, 391, 206 |
| 389, 149, 5, 17, 206 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 389 x 149 x 5 x 17 x 206 = 70027900590
Therefore, the lowest common multiple of 389,447,115,391,618 is 70027900590.
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.
389 x 447 x 115 x 391 x 618 = 4831925140710
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.
389 : 1, 389
447 : 1, 3, 149, 447
115 : 1, 5, 23, 115
391 : 1, 17, 23, 391
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,447,115,391,618, is 1.
Now, the common factors can be found like this.
389:389
447:3x 149
115:5x 23
391:17x 23
618:2x 3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23 = 69
Therefore, the value for common factors is 69.
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 = 4831925140710/(1x69)
LCM = 4831925140710/69
LCM = 70027900590
Thus, we can understand that the LCM of 389,447,115,391,618 is 70027900590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 389, 447, 115, 391, 618
1. What is the LCM of 389, 447, 115, 391, 618?
Answer: LCM of 389, 447, 115, 391, 618 is 70027900590.
2. How to calculate the LCM of 389, 447, 115, 391, 618?
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 389, 447, 115, 391, 618.
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}.