LCM of 677, 483, 264, 299, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 483, 264, 299, 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 677, 483, 264, 299, 240. So, keep reading to learn more.
Given numbers are 677,483,264,299,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,483,264,299,240 is 3740777040.
Find LCM of 677,483,264,299,240 with Prime Factorization
| 2 | 677, 483, 264, 299, 240 |
| 2 | 677, 483, 132, 299, 120 |
| 2 | 677, 483, 66, 299, 60 |
| 3 | 677, 483, 33, 299, 30 |
| 23 | 677, 161, 11, 299, 10 |
| 677, 7, 11, 13, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 677 x 7 x 11 x 13 x 10 = 3740777040
Therefore, the lowest common multiple of 677,483,264,299,240 is 3740777040.
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.
677 x 483 x 264 x 299 x 240 = 6194726778240
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.
677 : 1, 677
483 : 1, 3, 7, 21, 23, 69, 161, 483
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
299 : 1, 13, 23, 299
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 677,483,264,299,240, is 1.
Now, the common factors can be found like this.
677:677
483:3x 7x 23
264:2x 2x 2x 3x 11
299:13x 23
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 3x 3x 23 = 1656
Therefore, the value for common factors is 1656.
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 = 6194726778240/(1x1656)
LCM = 6194726778240/1656
LCM = 3740777040
Thus, we can understand that the LCM of 677,483,264,299,240 is 3740777040.
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FAQs on LCM of 677, 483, 264, 299, 240
1. What is the LCM of 677, 483, 264, 299, 240?
Answer: LCM of 677, 483, 264, 299, 240 is 3740777040.
2. How to calculate the LCM of 677, 483, 264, 299, 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 677, 483, 264, 299, 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}.