Find the LCM of 267, 844, 990, 427, 890 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 267, 844, 990, 427, 890. So, keep reading to learn more.
Given numbers are 267,844,990,427,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,844,990,427,890 is 15876893340.
Find LCM of 267,844,990,427,890 with Prime Factorization
2 | 267, 844, 990, 427, 890 |
3 | 267, 422, 495, 427, 445 |
5 | 89, 422, 165, 427, 445 |
89 | 89, 422, 33, 427, 89 |
1, 422, 33, 427, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 89 x 1 x 422 x 33 x 427 x 1 = 15876893340
Therefore, the lowest common multiple of 267,844,990,427,890 is 15876893340.
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.
267 x 844 x 990 x 427 x 890 = 84782610435600
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.
267 : 1, 3, 89, 267
844 : 1, 2, 4, 211, 422, 844
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
427 : 1, 7, 61, 427
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,844,990,427,890, is 1.
Now, the common factors can be found like this.
267:3x 89
844:2x 2x 211
990:2x 3x 3x 5x 11
427:7x 61
890:2x 5x 89
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 3x 5x 89 = 5340
Therefore, the value for common factors is 5340.
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 = 84782610435600/(1x5340)
LCM = 84782610435600/5340
LCM = 15876893340
Thus, we can understand that the LCM of 267,844,990,427,890 is 15876893340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 267, 844, 990, 427, 890?
Answer: LCM of 267, 844, 990, 427, 890 is 15876893340.
2. How to calculate the LCM of 267, 844, 990, 427, 890?
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 267, 844, 990, 427, 890.
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}.