LCM of 389, 506, 460, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 389, 506, 460, 667 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, 506, 460, 667. So, keep reading to learn more.
Given numbers are 389,506,460,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,506,460,667 is 57081860.
Find LCM of 389,506,460,667 with Prime Factorization
| 2 | 389, 506, 460, 667 |
| 23 | 389, 253, 230, 667 |
| 389, 11, 10, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 389 x 11 x 10 x 29 = 57081860
Therefore, the lowest common multiple of 389,506,460,667 is 57081860.
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 506 x 460 x 667 = 60392607880
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
506 : 1, 2, 11, 22, 23, 46, 253, 506
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,506,460,667, is 1.
Now, the common factors can be found like this.
389:389
506:2x 11x 23
460:2x 2x 5x 23
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 23 = 1058
Therefore, the value for common factors is 1058.
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 = 60392607880/(1x1058)
LCM = 60392607880/1058
LCM = 57081860
Thus, we can understand that the LCM of 389,506,460,667 is 57081860.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 389, 506, 460, 667
1. What is the LCM of 389, 506, 460, 667?
Answer: LCM of 389, 506, 460, 667 is 57081860.
2. How to calculate the LCM of 389, 506, 460, 667?
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, 506, 460, 667.
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}.