LCM of 240, 396, 918, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 396, 918, 561 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, 396, 918, 561. So, keep reading to learn more.
Given numbers are 240,396,918,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,396,918,561 is 403920.
Find LCM of 240,396,918,561 with Prime Factorization
| 2 | 240, 396, 918, 561 |
| 2 | 120, 198, 459, 561 |
| 3 | 60, 99, 459, 561 |
| 3 | 20, 33, 153, 187 |
| 11 | 20, 11, 51, 187 |
| 17 | 20, 1, 51, 17 |
| 20, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 17 x 20 x 1 x 3 x 1 = 403920
Therefore, the lowest common multiple of 240,396,918,561 is 403920.
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 396 x 918 x 561 = 48945409920
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
561 : 1, 3, 11, 17, 33, 51, 187, 561
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,396,918,561, is 3.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
396:2x 2x 3x 3x 11
918:2x 3x 3x 3x 17
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 11x 17 = 40392
Therefore, the value for common factors is 40392.
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 = 48945409920/(3x40392)
LCM = 48945409920/121176
LCM = 403920
Thus, we can understand that the LCM of 240,396,918,561 is 403920.
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FAQs on LCM of 240, 396, 918, 561
1. What is the LCM of 240, 396, 918, 561?
Answer: LCM of 240, 396, 918, 561 is 403920.
2. How to calculate the LCM of 240, 396, 918, 561?
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, 396, 918, 561.
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}.