LCM of 944, 687, 565, 918, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 944, 687, 565, 918, 240 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 944, 687, 565, 918, 240. So, keep reading to learn more.
Given numbers are 944,687,565,918,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 944,687,565,918,240 is 56062002960.
Find LCM of 944,687,565,918,240 with Prime Factorization
| 2 | 944, 687, 565, 918, 240 |
| 2 | 472, 687, 565, 459, 120 |
| 2 | 236, 687, 565, 459, 60 |
| 2 | 118, 687, 565, 459, 30 |
| 3 | 59, 687, 565, 459, 15 |
| 5 | 59, 229, 565, 153, 5 |
| 59, 229, 113, 153, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 59 x 229 x 113 x 153 x 1 = 56062002960
Therefore, the lowest common multiple of 944,687,565,918,240 is 56062002960.
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.
944 x 687 x 565 x 918 x 240 = 80729284262400
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.
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
687 : 1, 3, 229, 687
565 : 1, 5, 113, 565
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,687,565,918,240, is 1.
Now, the common factors can be found like this.
944:2x 2x 2x 2x 59
687:3x 229
565:5x 113
918:2x 3x 3x 3x 17
240:2x 2x 2x 2x 3x 5
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 2x 2x 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 80729284262400/(1x1440)
LCM = 80729284262400/1440
LCM = 56062002960
Thus, we can understand that the LCM of 944,687,565,918,240 is 56062002960.
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FAQs on LCM of 944, 687, 565, 918, 240
1. What is the LCM of 944, 687, 565, 918, 240?
Answer: LCM of 944, 687, 565, 918, 240 is 56062002960.
2. How to calculate the LCM of 944, 687, 565, 918, 240?
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 944, 687, 565, 918, 240.
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}.