LCM of 969, 462, 879, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 462, 879, 264 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 969, 462, 879, 264. So, keep reading to learn more.
Given numbers are 969,462,879,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,462,879,264 is 174892872.
Find LCM of 969,462,879,264 with Prime Factorization
| 2 | 969, 462, 879, 264 |
| 3 | 969, 231, 879, 132 |
| 11 | 323, 77, 293, 44 |
| 323, 7, 293, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 323 x 7 x 293 x 4 = 174892872
Therefore, the lowest common multiple of 969,462,879,264 is 174892872.
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.
969 x 462 x 879 x 264 = 103886365968
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
879 : 1, 3, 293, 879
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,462,879,264, is 3.
Now, the common factors can be found like this.
969:3x 17x 19
462:2x 3x 7x 11
879:3x 293
264:2x 2x 2x 3x 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 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 103886365968/(3x198)
LCM = 103886365968/594
LCM = 174892872
Thus, we can understand that the LCM of 969,462,879,264 is 174892872.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 462, 879, 264
1. What is the LCM of 969, 462, 879, 264?
Answer: LCM of 969, 462, 879, 264 is 174892872.
2. How to calculate the LCM of 969, 462, 879, 264?
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 969, 462, 879, 264.
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}.