LCM of 266, 916, 836, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 916, 836, 931 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 266, 916, 836, 931. So, keep reading to learn more.
Given numbers are 266,916,836,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,916,836,931 is 9380756.
Find LCM of 266,916,836,931 with Prime Factorization
| 2 | 266, 916, 836, 931 |
| 2 | 133, 458, 418, 931 |
| 7 | 133, 229, 209, 931 |
| 19 | 19, 229, 209, 133 |
| 1, 229, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 1 x 229 x 11 x 7 = 9380756
Therefore, the lowest common multiple of 266,916,836,931 is 9380756.
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.
266 x 916 x 836 x 931 = 189641363296
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
916 : 1, 2, 4, 229, 458, 916
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,916,836,931, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
916:2x 2x 229
836:2x 2x 11x 19
931:7x 7x 19
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 7x 19x 19 = 20216
Therefore, the value for common factors is 20216.
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 = 189641363296/(1x20216)
LCM = 189641363296/20216
LCM = 9380756
Thus, we can understand that the LCM of 266,916,836,931 is 9380756.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 266, 916, 836, 931
1. What is the LCM of 266, 916, 836, 931?
Answer: LCM of 266, 916, 836, 931 is 9380756.
2. How to calculate the LCM of 266, 916, 836, 931?
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 266, 916, 836, 931.
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}.