Find the LCM of 267, 194, 806, 429, 876 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, 194, 806, 429, 876. So, keep reading to learn more.
Given numbers are 267,194,806,429,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,194,806,429,876 is 33524597964.
Find LCM of 267,194,806,429,876 with Prime Factorization
2 | 267, 194, 806, 429, 876 |
3 | 267, 97, 403, 429, 438 |
13 | 89, 97, 403, 143, 146 |
89, 97, 31, 11, 146 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 89 x 97 x 31 x 11 x 146 = 33524597964
Therefore, the lowest common multiple of 267,194,806,429,876 is 33524597964.
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 194 x 806 x 429 x 876 = 15689511847152
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
194 : 1, 2, 97, 194
806 : 1, 2, 13, 26, 31, 62, 403, 806
429 : 1, 3, 11, 13, 33, 39, 143, 429
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,194,806,429,876, is 1.
Now, the common factors can be found like this.
267:3x 89
194:2x 97
806:2x 13x 31
429:3x 11x 13
876:2x 2x 3x 73
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 15689511847152/(1x468)
LCM = 15689511847152/468
LCM = 33524597964
Thus, we can understand that the LCM of 267,194,806,429,876 is 33524597964.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 267, 194, 806, 429, 876?
Answer: LCM of 267, 194, 806, 429, 876 is 33524597964.
2. How to calculate the LCM of 267, 194, 806, 429, 876?
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, 194, 806, 429, 876.
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}.