LCM of 267, 814, 270, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 814, 270, 979 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, 814, 270, 979. So, keep reading to learn more.
Given numbers are 267,814,270,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,814,270,979 is 9780210.
Find LCM of 267,814,270,979 with Prime Factorization
| 2 | 267, 814, 270, 979 |
| 3 | 267, 407, 135, 979 |
| 11 | 89, 407, 45, 979 |
| 89 | 89, 37, 45, 89 |
| 1, 37, 45, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 89 x 1 x 37 x 45 x 1 = 9780210
Therefore, the lowest common multiple of 267,814,270,979 is 9780210.
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 814 x 270 x 979 = 57448953540
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,814,270,979, is 1.
Now, the common factors can be found like this.
267:3x 89
814:2x 11x 37
270:2x 3x 3x 3x 5
979:11x 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 3x 11x 89 = 5874
Therefore, the value for common factors is 5874.
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 = 57448953540/(1x5874)
LCM = 57448953540/5874
LCM = 9780210
Thus, we can understand that the LCM of 267,814,270,979 is 9780210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 814, 270, 979
1. What is the LCM of 267, 814, 270, 979?
Answer: LCM of 267, 814, 270, 979 is 9780210.
2. How to calculate the LCM of 267, 814, 270, 979?
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, 814, 270, 979.
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}.