LCM of 266, 209, 969, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 209, 969, 924 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, 209, 969, 924. So, keep reading to learn more.
Given numbers are 266,209,969,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,209,969,924 is 298452.
Find LCM of 266,209,969,924 with Prime Factorization
| 2 | 266, 209, 969, 924 |
| 3 | 133, 209, 969, 462 |
| 7 | 133, 209, 323, 154 |
| 11 | 19, 209, 323, 22 |
| 19 | 19, 19, 323, 2 |
| 1, 1, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 19 x 1 x 1 x 17 x 2 = 298452
Therefore, the lowest common multiple of 266,209,969,924 is 298452.
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 209 x 969 x 924 = 49776421464
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
209 : 1, 11, 19, 209
969 : 1, 3, 17, 19, 51, 57, 323, 969
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,209,969,924, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
209:11x 19
969:3x 17x 19
924:2x 2x 3x 7x 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 3x 7x 11x 19x 19 = 166782
Therefore, the value for common factors is 166782.
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 = 49776421464/(1x166782)
LCM = 49776421464/166782
LCM = 298452
Thus, we can understand that the LCM of 266,209,969,924 is 298452.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 266, 209, 969, 924
1. What is the LCM of 266, 209, 969, 924?
Answer: LCM of 266, 209, 969, 924 is 298452.
2. How to calculate the LCM of 266, 209, 969, 924?
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, 209, 969, 924.
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}.