LCM of 289, 754, 768, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 754, 768, 594 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 289, 754, 768, 594. So, keep reading to learn more.
Given numbers are 289,754,768,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,754,768,594 is 8283914496.
Find LCM of 289,754,768,594 with Prime Factorization
| 2 | 289, 754, 768, 594 |
| 3 | 289, 377, 384, 297 |
| 289, 377, 128, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 289 x 377 x 128 x 99 = 8283914496
Therefore, the lowest common multiple of 289,754,768,594 is 8283914496.
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.
289 x 754 x 768 x 594 = 99406973952
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.
289 : 1, 17, 289
754 : 1, 2, 13, 26, 29, 58, 377, 754
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,754,768,594, is 1.
Now, the common factors can be found like this.
289:17x 17
754:2x 13x 29
768:2x 2x 2x 2x 2x 2x 2x 2x 3
594:2x 3x 3x 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 2x 3 = 12
Therefore, the value for common factors is 12.
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 = 99406973952/(1x12)
LCM = 99406973952/12
LCM = 8283914496
Thus, we can understand that the LCM of 289,754,768,594 is 8283914496.
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FAQs on LCM of 289, 754, 768, 594
1. What is the LCM of 289, 754, 768, 594?
Answer: LCM of 289, 754, 768, 594 is 8283914496.
2. How to calculate the LCM of 289, 754, 768, 594?
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 289, 754, 768, 594.
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}.