Find the LCM of 240, 988, 858, 246, 600 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, 988, 858, 246, 600. So, keep reading to learn more.
Given numbers are 240,988,858,246,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,988,858,246,600 is 133676400.
Find LCM of 240,988,858,246,600 with Prime Factorization
2 | 240, 988, 858, 246, 600 |
2 | 120, 494, 429, 123, 300 |
2 | 60, 247, 429, 123, 150 |
3 | 30, 247, 429, 123, 75 |
5 | 10, 247, 143, 41, 25 |
13 | 2, 247, 143, 41, 5 |
2, 19, 11, 41, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 2 x 19 x 11 x 41 x 5 = 133676400
Therefore, the lowest common multiple of 240,988,858,246,600 is 133676400.
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 988 x 858 x 246 x 600 = 30029066496000
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
246 : 1, 2, 3, 6, 41, 82, 123, 246
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,988,858,246,600, is 2.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
988:2x 2x 13x 19
858:2x 3x 11x 13
246:2x 3x 41
600:2x 2x 2x 3x 5x 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 2x 3x 3x 3x 5x 13 = 112320
Therefore, the value for common factors is 112320.
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 = 30029066496000/(2x112320)
LCM = 30029066496000/224640
LCM = 133676400
Thus, we can understand that the LCM of 240,988,858,246,600 is 133676400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 988, 858, 246, 600?
Answer: LCM of 240, 988, 858, 246, 600 is 133676400.
2. How to calculate the LCM of 240, 988, 858, 246, 600?
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, 988, 858, 246, 600.
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}.