LCM of 267, 678, 706, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 678, 706, 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, 678, 706, 876. So, keep reading to learn more.
Given numbers are 267,678,706,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,678,706,876 is 3109905996.
Find LCM of 267,678,706,876 with Prime Factorization
| 2 | 267, 678, 706, 876 |
| 3 | 267, 339, 353, 438 |
| 89, 113, 353, 146 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 89 x 113 x 353 x 146 = 3109905996
Therefore, the lowest common multiple of 267,678,706,876 is 3109905996.
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 678 x 706 x 876 = 111956615856
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
678 : 1, 2, 3, 6, 113, 226, 339, 678
706 : 1, 2, 353, 706
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 267,678,706,876, is 1.
Now, the common factors can be found like this.
267:3x 89
678:2x 3x 113
706:2x 353
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 3 = 36
Therefore, the value for common factors is 36.
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 = 111956615856/(1x36)
LCM = 111956615856/36
LCM = 3109905996
Thus, we can understand that the LCM of 267,678,706,876 is 3109905996.
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FAQs on LCM of 267, 678, 706, 876
1. What is the LCM of 267, 678, 706, 876?
Answer: LCM of 267, 678, 706, 876 is 3109905996.
2. How to calculate the LCM of 267, 678, 706, 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, 678, 706, 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}.