LCM of 689, 292, 304, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 292, 304, 448 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 689, 292, 304, 448. So, keep reading to learn more.
Given numbers are 689,292,304,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,292,304,448 is 428128064.
Find LCM of 689,292,304,448 with Prime Factorization
| 2 | 689, 292, 304, 448 |
| 2 | 689, 146, 152, 224 |
| 2 | 689, 73, 76, 112 |
| 2 | 689, 73, 38, 56 |
| 689, 73, 19, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 689 x 73 x 19 x 28 = 428128064
Therefore, the lowest common multiple of 689,292,304,448 is 428128064.
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.
689 x 292 x 304 x 448 = 27400196096
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.
689 : 1, 13, 53, 689
292 : 1, 2, 4, 73, 146, 292
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,292,304,448, is 1.
Now, the common factors can be found like this.
689:13x 53
292:2x 2x 73
304:2x 2x 2x 2x 19
448:2x 2x 2x 2x 2x 2x 7
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 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 27400196096/(1x64)
LCM = 27400196096/64
LCM = 428128064
Thus, we can understand that the LCM of 689,292,304,448 is 428128064.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 292, 304, 448
1. What is the LCM of 689, 292, 304, 448?
Answer: LCM of 689, 292, 304, 448 is 428128064.
2. How to calculate the LCM of 689, 292, 304, 448?
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 689, 292, 304, 448.
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}.