LCM of 240, 489, 418, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 489, 418, 627 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 240, 489, 418, 627. So, keep reading to learn more.
Given numbers are 240,489,418,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,489,418,627 is 8176080.
Find LCM of 240,489,418,627 with Prime Factorization
| 2 | 240, 489, 418, 627 |
| 3 | 120, 489, 209, 627 |
| 11 | 40, 163, 209, 209 |
| 19 | 40, 163, 19, 19 |
| 40, 163, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 40 x 163 x 1 x 1 = 8176080
Therefore, the lowest common multiple of 240,489,418,627 is 8176080.
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.
240 x 489 x 418 x 627 = 30758412960
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
489 : 1, 3, 163, 489
418 : 1, 2, 11, 19, 22, 38, 209, 418
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,489,418,627, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
489:3x 163
418:2x 11x 19
627:3x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 19 = 3762
Therefore, the value for common factors is 3762.
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 = 30758412960/(1x3762)
LCM = 30758412960/3762
LCM = 8176080
Thus, we can understand that the LCM of 240,489,418,627 is 8176080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 240, 489, 418, 627
1. What is the LCM of 240, 489, 418, 627?
Answer: LCM of 240, 489, 418, 627 is 8176080.
2. How to calculate the LCM of 240, 489, 418, 627?
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 240, 489, 418, 627.
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}.