LCM of 769, 448, 969, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 448, 969, 246 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 769, 448, 969, 246. So, keep reading to learn more.
Given numbers are 769,448,969,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,448,969,246 is 13687117248.
Find LCM of 769,448,969,246 with Prime Factorization
| 2 | 769, 448, 969, 246 |
| 3 | 769, 224, 969, 123 |
| 769, 224, 323, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 769 x 224 x 323 x 41 = 13687117248
Therefore, the lowest common multiple of 769,448,969,246 is 13687117248.
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.
769 x 448 x 969 x 246 = 82122703488
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.
769 : 1, 769
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
969 : 1, 3, 17, 19, 51, 57, 323, 969
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,448,969,246, is 1.
Now, the common factors can be found like this.
769:769
448:2x 2x 2x 2x 2x 2x 7
969:3x 17x 19
246:2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 82122703488/(1x6)
LCM = 82122703488/6
LCM = 13687117248
Thus, we can understand that the LCM of 769,448,969,246 is 13687117248.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 769, 448, 969, 246
1. What is the LCM of 769, 448, 969, 246?
Answer: LCM of 769, 448, 969, 246 is 13687117248.
2. How to calculate the LCM of 769, 448, 969, 246?
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 769, 448, 969, 246.
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}.