LCM of 267, 256, 968, 121
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 256, 968, 121 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, 256, 968, 121. So, keep reading to learn more.
Given numbers are 267,256,968,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,256,968,121 is 8270592.
Find LCM of 267,256,968,121 with Prime Factorization
| 2 | 267, 256, 968, 121 |
| 2 | 267, 128, 484, 121 |
| 2 | 267, 64, 242, 121 |
| 11 | 267, 32, 121, 121 |
| 11 | 267, 32, 11, 11 |
| 267, 32, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 11 x 267 x 32 x 1 x 1 = 8270592
Therefore, the lowest common multiple of 267,256,968,121 is 8270592.
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 256 x 968 x 121 = 8005933056
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
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,256,968,121, is 1.
Now, the common factors can be found like this.
267:3x 89
256:2x 2x 2x 2x 2x 2x 2x 2
968:2x 2x 2x 11x 11
121:11x 11
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 8005933056/(1x968)
LCM = 8005933056/968
LCM = 8270592
Thus, we can understand that the LCM of 267,256,968,121 is 8270592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 256, 968, 121
1. What is the LCM of 267, 256, 968, 121?
Answer: LCM of 267, 256, 968, 121 is 8270592.
2. How to calculate the LCM of 267, 256, 968, 121?
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, 256, 968, 121.
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}.