LCM of 297, 945, 238, 763, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 945, 238, 763, 288 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 297, 945, 238, 763, 288. So, keep reading to learn more.
Given numbers are 297,945,238,763,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,945,238,763,288 is 616381920.
Find LCM of 297,945,238,763,288 with Prime Factorization
| 2 | 297, 945, 238, 763, 288 |
| 3 | 297, 945, 119, 763, 144 |
| 3 | 99, 315, 119, 763, 48 |
| 3 | 33, 105, 119, 763, 16 |
| 7 | 11, 35, 119, 763, 16 |
| 11, 5, 17, 109, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 11 x 5 x 17 x 109 x 16 = 616381920
Therefore, the lowest common multiple of 297,945,238,763,288 is 616381920.
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.
297 x 945 x 238 x 763 x 288 = 14678519042880
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
238 : 1, 2, 7, 14, 17, 34, 119, 238
763 : 1, 7, 109, 763
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,945,238,763,288, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
945:3x 3x 3x 5x 7
238:2x 7x 17
763:7x 109
288:2x 2x 2x 2x 2x 3x 3
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 3x 3x 3x 7x 7 = 23814
Therefore, the value for common factors is 23814.
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 = 14678519042880/(1x23814)
LCM = 14678519042880/23814
LCM = 616381920
Thus, we can understand that the LCM of 297,945,238,763,288 is 616381920.
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FAQs on LCM of 297, 945, 238, 763, 288
1. What is the LCM of 297, 945, 238, 763, 288?
Answer: LCM of 297, 945, 238, 763, 288 is 616381920.
2. How to calculate the LCM of 297, 945, 238, 763, 288?
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 297, 945, 238, 763, 288.
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}.