LCM of 674, 896, 969, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 896, 969, 608 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 674, 896, 969, 608. So, keep reading to learn more.
Given numbers are 674,896,969,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,896,969,608 is 292591488.
Find LCM of 674,896,969,608 with Prime Factorization
| 2 | 674, 896, 969, 608 |
| 2 | 337, 448, 969, 304 |
| 2 | 337, 224, 969, 152 |
| 2 | 337, 112, 969, 76 |
| 2 | 337, 56, 969, 38 |
| 19 | 337, 28, 969, 19 |
| 337, 28, 51, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 19 x 337 x 28 x 51 x 1 = 292591488
Therefore, the lowest common multiple of 674,896,969,608 is 292591488.
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.
674 x 896 x 969 x 608 = 355791249408
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.
674 : 1, 2, 337, 674
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
969 : 1, 3, 17, 19, 51, 57, 323, 969
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,896,969,608, is 1.
Now, the common factors can be found like this.
674:2x 337
896:2x 2x 2x 2x 2x 2x 2x 7
969:3x 17x 19
608:2x 2x 2x 2x 2x 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 2x 2x 2x 19 = 1216
Therefore, the value for common factors is 1216.
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 = 355791249408/(1x1216)
LCM = 355791249408/1216
LCM = 292591488
Thus, we can understand that the LCM of 674,896,969,608 is 292591488.
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FAQs on LCM of 674, 896, 969, 608
1. What is the LCM of 674, 896, 969, 608?
Answer: LCM of 674, 896, 969, 608 is 292591488.
2. How to calculate the LCM of 674, 896, 969, 608?
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 674, 896, 969, 608.
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}.