LCM of 418, 393, 547, 767, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 393, 547, 767, 489 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 418, 393, 547, 767, 489. So, keep reading to learn more.
Given numbers are 418,393,547,767,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,393,547,767,489 is 11234121765438.
Find LCM of 418,393,547,767,489 with Prime Factorization
| 3 | 418, 393, 547, 767, 489 |
| 418, 131, 547, 767, 163 |
Multiply the prime numbers at the bottom and the left side.
3 x 418 x 131 x 547 x 767 x 163 = 11234121765438
Therefore, the lowest common multiple of 418,393,547,767,489 is 11234121765438.
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.
418 x 393 x 547 x 767 x 489 = 33702365296314
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
393 : 1, 3, 131, 393
547 : 1, 547
767 : 1, 13, 59, 767
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,393,547,767,489, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
393:3x 131
547:547
767:13x 59
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 33702365296314/(1x3)
LCM = 33702365296314/3
LCM = 11234121765438
Thus, we can understand that the LCM of 418,393,547,767,489 is 11234121765438.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 418, 393, 547, 767, 489
1. What is the LCM of 418, 393, 547, 767, 489?
Answer: LCM of 418, 393, 547, 767, 489 is 11234121765438.
2. How to calculate the LCM of 418, 393, 547, 767, 489?
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 418, 393, 547, 767, 489.
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}.